Question

The graph of the equation will pass through the points (-2,2) and (0,0).

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

Answer 1

The correct option is A $2x-y=0$

A point lies on a line if its coordinates satisfy the equation of the line.
Let's check the options:
(1.) 2x - y = 0

Substitute x = -2, y = 2

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

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

(2.) 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

(3.) y - x = 0

Substitute x = -2, y = 2

2 + 2 = 4 $\ne$0

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

Hence, 2x - y passes through both the points.