If a linear equation has solutions (-2, 2), (0, 0) and (2, -2), then it is of the form
a. y - x = 0
b. x + y = 0
c. -2x + y = 0
d. -x + 2y = 0

Solution:

The points (-2, 2), (0, 0) and (2, - 2) are the solutions of the linear equation

We know that

y = mx + c is the equation of a line

As (0, 0) lies on it, c = 0

As (-2, 2) lies on it,

2 = -2 (m)

m = -1

So we get

y = -x

x + y = 0 is the equation of the line.

Therefore, the linear equation is x + y = 0.

✦ Try This: If a linear equation has solutions (-1, 1), (0, 0) and (1, - 1), then it is of the form a. y - x = 0, b. x + y = 0, c. -2x + y = 0, d. -x + 2y = 0

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 12

If a linear equation has solutions (-2, 2), (0, 0) and (2, -2), then it is of the form a. y - x = 0, b. x + y = 0, c. -2x + y = 0, d. -x + 2y = 0

Summary:

If a linear equation has solutions (-2, 2), (0, 0) and (2, - 2), then it is of the form x + y = 0

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