Visualising Linear Relationships | Class 9 Maths Chapter 2 | Linear Polynomials | Ganita Manjari

Class 9 Maths Chapter 2 – Introduction to Linear Polynomials | 2.6 Visualising Linear Relationships | Page 27-36 | Vivek Sir In this video, Vivek Sir explains Section 2.6 – Visualising Linear Relationships from Chapter 2: Introduction to Linear Polynomials of the new NCERT Class 9 Maths textbook Ganita Manjari for the 2026–2027 session. 📖 Topics Covered in This Video: Chapter 2: Introduction to Linear Polynomials — Section 2.6 Visualising Linear Relationships (Page 27-36) ✅ Introduction to Linear Graphs (Page 27) Understand how linear relationships can be represented graphically Learn the equation form y = ax + b Understand how to identify points on a line Introduction to plotting linear equations on graph paper ✅ Plotting the Graph of y = 2x + 1 (Page 27-28) Learn how to choose values of x and calculate y Plot points such as (0,1) and (3,7) Join points to form a straight line Understand why all points on the line satisfy the equation ✅ Understanding Linear Relationships Through Coordinates (Page 28-29) Plot points like (−1, −3), (0,0), (1,3), (3,9), and (4,12) Observe the relationship y = 3x Learn how coordinate pairs form straight-line patterns Visualise relationships between x and y values ✅ Drawing Graphs of y = 1/2 x, y = x and y = 2x (Page 29-31) Compare different straight-line graphs Understand slope visually Learn how graphs become steeper as coefficient changes Observe how all graphs pass through the origin when b = 0 ✅ Positive and Negative Slopes (Page 31-33) Understand graphs of y = −1/3x, y = −x and y = −3x Learn the meaning of negative slope Compare increasing and decreasing linear graphs Understand linear growth and linear decay visually ✅ Comparing Parallel Lines and Y-Intercepts (Page 33-35) Plot graphs of y = 2x − 1, y = 2x + 1 and y = 2x + 5 Observe parallel lines with same slope Understand the role of y-intercept in graph shifting Learn how different values of b affect the graph ✅ Understanding Slope and Y-Intercept (Page 35-36) Learn the meaning of slope in y = ax + b Understand how a controls steepness of the line Understand how b controls the y-intercept Summarise important conclusions from all graph observations 📘 Concepts Explained by Vivek Sir: Linear equations in two variables Graph plotting basics Coordinate geometry foundation Straight-line graphs Slope of a line Positive and negative slope Y-intercept concept Parallel lines in coordinate geometry Visual understanding of linear relationships NCERT graph explanation with easy methods 🎯 Useful For: CBSE Class 9 students New NCERT Class 9 Maths 2026–2027 Ganita Manjari Class 9 learners Homework help School exam preparation Coordinate geometry basics Linear graph understanding Quick revision of Chapter 2 concepts 📌 Watch the full Chapter 2 playlist    • Class 9 | Chapter 2 | Ganita Manjari | Int...   Class 9 Maths Chapter 2, Visualising Linear Relationships Class 9, Page 27 to 36 Class 9 Maths, NCERT Class 9 Maths Chapter 2, Ganita Manjari Chapter 2, Vivek Sir Class 9 Maths, linear graphs class 9 maths, slope and y intercept class 9, graph of y ax b class 9 maths, coordinate geometry basics class 9, straight line graph class 9, plotting graphs class 9 maths, positive and negative slope class 9, parallel lines graph class 9 maths, page 27 36 explained class 9 maths, new NCERT Class 9 Maths 2026 2027, CBSE Class 9 Maths Chapter 2, Class 9 Maths easy explanation, NCERT solutions Class 9 Maths Chapter 2 #class9maths #class9mathschapter2 #linearpolynomials #ganitamanjari #ncertmaths #viveksir #ncertsolutions #cbseclass9 #mathsbyviveksir #coordinategeometry #lineargraphs #slope #graphplotting