Linear Polynomials Exercise 2.6 Class 9 Maths NCERT Solutions

The Linear Polynomials Exercise 2.6 solutions cover the single graphing question from the new Ganita Manjari book. This set asks you to draw sets of straight lines and reflect on the role of a and b. Use these NCERT Solutions Class 9 Maths Chapter 2 Linear Polynomials Exercise 2.6 answers to read each graph with ease.

• Questions solved: the one multi-part question with five sets of lines.
• Main skills: plotting y = ax + b and reading slope and intercept from the line.
• Links to chapter: it turns the rules of Exercise 2.5 into pictures you can see.

These solutions are prepared by subject teachers, matched to the current 2026-27 NCERT, and checked step by step so a Class 9 student can follow each line.

What Does Class 9 Maths Chapter 2 Linear Polynomials Exercise 2.6 Cover?

This exercise is about drawing straight-line graphs. For a line y = ax + b, the number a is the slope, which sets how steep the line is and whether it rises or falls. The number b is the y-intercept, the point where the line crosses the y-axis. By drawing several lines together, you see how changing a tilts the line and how changing b slides it up or down. This makes Linear Polynomials visual.

Video Walkthrough

Source: PW Class 9 - NEEV on YouTube

Linear Polynomials Exercise 2.6 Question Breakdown

There is one question with five sets of lines to draw. Each set highlights a different idea about a and b.

• Set (i): y = 4x, y = 2x, y = x, showing how a larger a makes the line steeper.
• Set (ii): y = -6x, y = -3x, y = -x, showing lines that fall as a is negative.
• Set (iii): y = 5x, y = -5x, showing mirror lines with opposite slopes.
• Set (iv): y = 3x - 1, y = 3x, y = 3x + 1, showing how b slides the line.
• Set (v): y = -2x - 3, y = -2x, y = 2x + 3, mixing changes in both a and b.

Sample Solved Question from Exercise 2.6

Here is set (iv), solved step by step, so you can see the role of the intercept b.

Question: Draw y = 3x - 1, y = 3x, and y = 3x + 1, and reflect on the role of a and b.

Step 1. Read the slope. All three lines have a = 3, so they have the same steepness.

Step 2. Read the intercepts. The lines cross the y-axis at -1, 0, and 1.

Step 3. Plot two points for each. For y = 3x, use (0, 0) and (1, 3); shift the others by their b.

Step 4. Join the points. The three lines are parallel, each above or below y = 3x.

Final answer. Same a keeps the lines parallel; changing b slides each line up or down.

How to Use These Linear Polynomials Exercise 2.6 Solutions

Draw each set on graph paper before you check the answer. Then use the Collegedunia solution to confirm the slope and intercept you read from each line.

• Plot at least two points per line for a straight, accurate graph.
• Compare the lines in a set to see what a and b each change.
• Revise graph reading before your Class 9 annual exam.

More Class 9 Maths Linear Polynomials Exercise 2.6 Solutions

Use the table below to open the full chapter or any other exercise of Linear Polynomials.