---
title: "NCERT Solutions for Class 9 Maths Chapter 2 Exercise 2.6"
url: https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-6
dateModified: 2026-10-07T15:41:27+00:00
---

# NCERT Solutions for Class 9 Maths Chapter 2 Exercise 2.6

Chapter 2: Introduction to Linear Polynomials. Every question from Exercise 2.6, with full working and the final answer.

Free PDF (24 pages): https://www.swavid.com/api/seo/pdf/ncert/maths/class-9/swavid-ncert-solutions-class-9-maths-chapter-2-introduction-to-linear-polynomials-1ce112dddf.pdf

## Exercise Set 2.6

### Question 1

*3 marks · Short answer*

Draw the graphs of the following sets of lines. In each case, reflect on the role of ‘$a$’ and ‘$b$’.
(i) $y = 4x, y = 2x, y = x$
(ii) $y = –6x, y = –3x, y = –x$
(iii) $y = 5x, y = –5x$
(iv) $y = 3x – 1, y = 3x, y = 3x + 1$
(v) $y = –2x – 3, y = –2x, y = 2x + 3$

**Part (i)**

1. Find points for $y = 4x$, $y = 2x$, and $y = x$, such as $(0, 0)$ and $(1, 4)$, $(1, 2)$, $(1, 1)$.
2. Plot the lines passing through the origin with positive slopes $4, 2, 1$.
3. Observe that as $a$ increases, the line becomes steeper.

Answer (i): All lines pass through the origin; larger $a$ gives a steeper line.

**Part (ii)**

1. Find points for $y = -6x$, $y = -3x$, and $y = -x$, such as $(0, 0)$ and $(1, -6)$, $(1, -3)$, $(1, -1)$.
2. Plot the lines passing through the origin with negative slopes $-6, -3, -1$.
3. Observe that negative slopes represent linear decay and larger magnitude makes the line steeper downwards.

Answer (ii): All lines pass through the origin with negative slope representing linear decay.

**Part (iii)**

1. Plot $y = 5x$ passing through $(0, 0)$ and $(1, 5)$ with a positive slope representing linear growth.
2. Plot $y = -5x$ passing through $(0, 0)$ and $(1, -5)$ with a negative slope representing linear decay.
3. Observe that equal magnitude of slope with opposite signs results in reflections across the x-axis.

Answer (iii): One line shows linear growth and the other shows linear decay with equal steepness.

**Answer:** Graphs drawn and role of slope $a$ and y-intercept $b$ analysed.

> Common mistake: Confusing the steepness of lines when comparing slopes greater than 1 and less than 1.

## Related pages

- [All Chapter 2 NCERT solutions](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions)
- [Exercise 2.1](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-1)
- [Exercise 2.2](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-2)
- [Exercise 2.3](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-3)
- [Exercise 2.4](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-4)
- [Exercise 2.5](https://www.swavid.com/maths/class/9/chapter/introduction-to-linear-polynomials/ncert-solutions/exercise-2-5)

Solutions written by SwaVid, a personal AI tutor for Class 6 to 10 Maths and Science. Practise this chapter free: https://www.swavid.com/start/student