Question

Which of the given equations will pass through the points (-2,2), (0,0) and (2,-2)?

• A. y - x = 0
• B. -2x - y = 0
• C. x + y = 0
• D. 2x - y = 0

Answer 1

The correct option is C

x + y = 0

A point lies on a line if its coordinates satisfy the equation of the line.

(A) 2x - y = 0

Substitute x = -2, y = 2

-4 - 2 = -2 $\ne$ 0

So, (-2, 2) does not lie on 2x - y = 0

(B) x + y = 0

Substitute x = -2, y = 2

-2 + 2 = 0

So, (-2, 2) lies on x + y = 0

Substitute x = 0, y = 0

0 + 0 = 0

So, (0, 0) lies on x + y = 0

Substitute x = 2, y = -2

2 - 2 = 0

So, (2, -2) lies on x + y = 0

(C) -2x - y = 0

Substitute x = -2, y = 2

4 - 2 = -2 $\ne$0

So, (-2, 2) does not lie on -2x - y = 0

(D) y - x = 0

Substitute x = -2, y = 2

2 + 2 = 4 $\ne$0

So, (-2, 2) does not lie on y - x = 0