{"id":2143,"date":"2026-05-25T14:10:19","date_gmt":"2026-05-25T08:40:19","guid":{"rendered":"https:\/\/mymockmate.com\/notes\/?p=2143"},"modified":"2026-05-25T14:23:58","modified_gmt":"2026-05-25T08:53:58","slug":"ncert-class-9-maths-exercise-2-6-solutions-visualizing-linear-relationships","status":"publish","type":"post","link":"https:\/\/mymockmate.com\/notes\/ncert-class-9-maths-exercise-2-6-solutions-visualizing-linear-relationships\/","title":{"rendered":"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships"},"content":{"rendered":"<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143?print=pdf\" class=\"pdfprnt-button pdfprnt-button-pdf\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/pdf.png\" alt=\"image_pdf\" title=\"Download PDF\" \/><span class=\"pdfprnt-button-title pdfprnt-button-pdf-title\">Save as PDF<\/span><\/a><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\" \/><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\"><\/span><\/div>\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Short Intro<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Exercise 2.6 introduces students to the graphical representation of linear equations. In this exercise, students learn how to draw straight-line graphs, identify slopes, compare parallel lines, and understand the role of coefficients in equations of the form (y=ax+b). These step-by-step solutions simplify graph plotting and linear relationship concepts for Class 9 learners.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Quick Information Box<\/h1>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Topic<\/th><th>Details<\/th><\/tr><\/thead><tbody><tr><td>Chapter<\/td><td>Introduction to Linear Polynomials<\/td><\/tr><tr><td>Exercise<\/td><td>Exercise 2.6<\/td><\/tr><tr><td>Subject<\/td><td>Mathematics<\/td><\/tr><tr><td>Class<\/td><td>Grade 9<\/td><\/tr><tr><td>Main Concepts<\/td><td>Graphs of Linear Equations<\/td><\/tr><tr><td>Difficulty Level<\/td><td>Moderate<\/td><\/tr><tr><td>Useful For<\/td><td>School Exams &amp; Foundation Maths<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Concepts Used (Topics Covered)<\/h1>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Linear Relationships<\/li>\n\n\n\n<li>Straight Line Graphs<\/li>\n\n\n\n<li>Coordinate Geometry<\/li>\n\n\n\n<li>Slope of a Line<\/li>\n\n\n\n<li>y-Intercept<\/li>\n\n\n\n<li>Parallel Lines<\/li>\n\n\n\n<li>Positive and Negative Slopes<\/li>\n\n\n\n<li>Graph Plotting<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Important Formulas<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">General Linear Equation<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-30-1024x320.png\" alt=\"image\" class=\"wp-image-2146\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-30-1024x320.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-30-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-30-768x240.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-30.png 1165w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(a) = slope of line<\/li>\n\n\n\n<li>(b) = y-intercept<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Equation Passing Through Origin<\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-31-1024x320.png\" alt=\"image\" class=\"wp-image-2148\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-31-1024x320.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-31-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-31-768x240.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-31.png 1168w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Positive Slope<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If (a &gt; 0), graph rises upward.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Negative Slope<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">If (a &lt; 0), graph falls downward.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Questions &amp; Step-by-Step Solutions<\/h1>\n\n\n\n<h1 class=\"wp-block-heading\">Question 1<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">Draw the graphs of the following sets of lines. In each case, reflect on the role of (a) and (b).<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">(i) (y = 4x, y = 2x, y = x)<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 1<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-32-1024x320.png\" alt=\"image\" class=\"wp-image-2149\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-32-1024x320.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-32-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-32-768x240.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-32.png 1170w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,4)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 2<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-33-1024x322.png\" alt=\"image\" class=\"wp-image-2150\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-33-1024x322.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-33-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-33-768x241.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-33.png 1161w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,2)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"321\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-34-1024x321.png\" alt=\"image\" class=\"wp-image-2151\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-34-1024x321.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-34-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-34-768x240.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-34.png 1166w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,1)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Observation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All graphs pass through origin because (b=0).<\/li>\n\n\n\n<li>Larger slope means steeper graph.<\/li>\n\n\n\n<li>(y=4x) is steepest.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">(ii) (y=-6x, y=-3x, y=-x)<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 1<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"324\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-35-1024x324.png\" alt=\"image\" class=\"wp-image-2152\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-35-1024x324.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-35-300x95.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-35-768x243.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-35.png 1171w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,-6)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 2<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-36-1024x322.png\" alt=\"image\" class=\"wp-image-2153\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-36-1024x322.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-36-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-36-768x241.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-36.png 1174w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,-3)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"324\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-37-1024x324.png\" alt=\"image\" class=\"wp-image-2154\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-37-1024x324.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-37-300x95.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-37-768x243.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-37.png 1171w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,-1)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Observation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Negative slopes produce downward graphs.<\/li>\n\n\n\n<li>All pass through origin.<\/li>\n\n\n\n<li>Greater magnitude of slope gives steeper line.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">(iii) (y=5x, y=-5x)<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 1<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"317\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-38-1024x317.png\" alt=\"image\" class=\"wp-image-2155\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-38-1024x317.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-38-300x93.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-38-768x238.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-38.png 1172w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,5)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 2<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"318\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-39-1024x318.png\" alt=\"image\" class=\"wp-image-2156\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-39-1024x318.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-39-300x93.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-39-768x238.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-39.png 1173w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Points:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(0,0)<\/li>\n\n\n\n<li>(1,-5)<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Observation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Same steepness because slopes have same magnitude.<\/li>\n\n\n\n<li>One rises upward, the other falls downward.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">(iv) (y=3x-1, y=3x, y=3x+1)<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 1<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-40-1024x322.png\" alt=\"image\" class=\"wp-image-2157\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-40-1024x322.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-40-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-40-768x241.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-40.png 1172w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = -1<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 2<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"321\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-41-1024x321.png\" alt=\"image\" class=\"wp-image-2158\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-41-1024x321.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-41-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-41-768x241.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-41.png 1164w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = 0<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"319\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-42-1024x319.png\" alt=\"image\" class=\"wp-image-2159\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-42-1024x319.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-42-300x93.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-42-768x239.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-42.png 1169w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = 1<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Observation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>All lines have same slope = 3.<\/li>\n\n\n\n<li>Therefore, all are parallel lines.<\/li>\n\n\n\n<li>Different values of (b) shift the graph vertically.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">(v) (y=-2x-3, y=-2x, y=2x+3)<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Solution<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 1<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"326\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-43-1024x326.png\" alt=\"image\" class=\"wp-image-2160\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-43-1024x326.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-43-300x96.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-43-768x245.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-43.png 1164w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Slope = -2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = -3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 2<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"320\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-44-1024x320.png\" alt=\"image\" class=\"wp-image-2161\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-44-1024x320.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-44-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-44-768x240.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-44.png 1173w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Slope = -2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = 0<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Equation 3<\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"322\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-45-1024x322.png\" alt=\"image\" class=\"wp-image-2162\" title=\"NCERT Class 9 Maths Exercise 2.6 Solutions \u2013 Visualizing Linear Relationships\" srcset=\"https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-45-1024x322.png 1024w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-45-300x94.png 300w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-45-768x242.png 768w, https:\/\/mymockmate.com\/notes\/wp-content\/uploads\/2026\/05\/image-45.png 1176w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Slope = 2<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">y-intercept = 3<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Observation<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>First two lines are parallel because slopes are same.<\/li>\n\n\n\n<li>Third line rises upward because slope is positive.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Final Understanding<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Role of (a)<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Determines slope or steepness.<\/li>\n\n\n\n<li>Positive (a) \u2192 upward line.<\/li>\n\n\n\n<li>Negative (a) \u2192 downward line.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">Role of (b)<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Determines y-intercept.<\/li>\n\n\n\n<li>Changes vertical position of graph.<\/li>\n\n\n\n<li>Same slope but different (b) gives parallel lines.<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Common Mistakes<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u274c Plotting incorrect coordinates<br>\u274c Confusing slope with y-intercept<br>\u274c Using wrong sign for negative slopes<br>\u274c Joining points inaccurately<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Exam Tips<\/h1>\n\n\n\n<p class=\"wp-block-paragraph\">\u2714 Always make coordinate table first<br>\u2714 Plot at least two correct points<br>\u2714 Use ruler for straight lines<br>\u2714 Remember: same slope \u21d2 parallel lines<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">Practice MCQs<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">1. Which equation passes through origin?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) (y=2x+1)<br>B) (y=3x)<br>C) (y=x-5)<br>D) (y=4x+2)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 B) (y=3x)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">2. Which line has negative slope?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) (y=5x)<br>B) (y=2x+1)<br>C) (y=-3x)<br>D) (y=x)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 C) (y=-3x)<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">3. Parallel lines have:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) Same intercept<br>B) Same slope<br>C) Same equation<br>D) Same coordinates<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 B) Same slope<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">4. In y=ax+b, b represents:<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A) slope<br>B) coefficient<br>C) y-intercept<br>D) x-coordinate<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Answer<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">\u2705 C) y-intercept<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h1 class=\"wp-block-heading\">FAQ Section<\/h1>\n\n\n\n<h2 class=\"wp-block-heading\">Q1. What is a linear graph?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A straight-line graph representing a linear equation is called a linear graph.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Q2. What is slope?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Slope measures the steepness of a line.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Q3. What is y-intercept?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">It is the point where the graph cuts the y-axis.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Q4. When are two lines parallel?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Two lines are parallel when their slopes are equal.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Q5. Why do some graphs pass through origin?<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Graphs pass through origin when y-intercept is zero.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p class=\"wp-block-paragraph\">Practice more graph-based Maths questions, chapter-wise solutions, MCQs, and mock tests on <strong><a href=\"https:\/\/www.mymockmate.com\/?utm_source=chatgpt.com\">MyMockMate<\/a><\/strong> and improve your Class 9 Mathematics preparation with smart learning resources!<\/p>\n<div class=\"pdfprnt-buttons pdfprnt-buttons-post pdfprnt-top-bottom-right\"><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143?print=pdf\" class=\"pdfprnt-button pdfprnt-button-pdf\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/pdf.png\" alt=\"image_pdf\" title=\"Download PDF\" \/><span class=\"pdfprnt-button-title pdfprnt-button-pdf-title\">Save as PDF<\/span><\/a><a href=\"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143?print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\" ><img decoding=\"async\" src=\"https:\/\/mymockmate.com\/notes\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Print Content\" \/><span class=\"pdfprnt-button-title pdfprnt-button-print-title\">Print<\/span><\/a> <span class=\"pdfprnt-count-generation\"><\/span><\/div>\n    <div class=\"xs_social_share_widget xs_share_url after_content \t\tmain_content  wslu-style-1 wslu-share-box-shaped wslu-fill-colored wslu-none wslu-share-horizontal wslu-theme-font-no wslu-main_content\">\n\n\t\t\n        <ul>\n\t\t\t        <\/ul>\n    <\/div> \n","protected":false},"excerpt":{"rendered":"<p> Short Intro Exercise 2.6 introduces students to the graphical representation of linear equations. In this<\/p>\n","protected":false},"author":1,"featured_media":2144,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_surecart_dashboard_logo_width":"180px","_surecart_dashboard_show_logo":true,"_surecart_dashboard_navigation_orders":true,"_surecart_dashboard_navigation_invoices":true,"_surecart_dashboard_navigation_subscriptions":true,"_surecart_dashboard_navigation_downloads":true,"_surecart_dashboard_navigation_billing":true,"_surecart_dashboard_navigation_account":true,"postBodyCss":"","postBodyMargin":[],"postBodyPadding":[],"postBodyBackground":{"backgroundType":"classic","gradient":""},"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[22,4,11],"tags":[719,136,727,724,685,726,732,735,734,728,91,731,729,673,730,725,733],"class_list":["post-2143","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cbse","category-class-9","category-maths-class-9","tag-class-9-algebra-solutions","tag-class-9-maths","tag-coordinate-geometry-basics","tag-exercise-2-6-solutions","tag-grade-9-mathematics","tag-graph-of-linear-equations","tag-graph-paper-questions","tag-graph-plotting-class-9","tag-linear-equations-graphs","tag-linear-graph-questions","tag-maths-chapter-2-solutions","tag-plotting-graphs-maths","tag-slope-and-y-intercept","tag-step-by-step-maths-solutions","tag-straight-line-graphs","tag-visualising-linear-relationships","tag-yaxb-equations"],"jetpack_publicize_connections":[],"_links":{"self":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/comments?post=2143"}],"version-history":[{"count":2,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143\/revisions"}],"predecessor-version":[{"id":2163,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/posts\/2143\/revisions\/2163"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media\/2144"}],"wp:attachment":[{"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/media?parent=2143"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/categories?post=2143"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mymockmate.com\/notes\/wp-json\/wp\/v2\/tags?post=2143"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}