Question

Which of the following statements are true about the graph of the line x + 2y = 0.

• A. is parallel to the x-axis
• B. is parallel to the Y axis
• C. passes through the origin
• D. (0,3) lies on the line

Answer 1

The correct option is C passes through the origin

If x = 0,
0 + 2y = 0
$\Rightarrow$ y = 0
$\therefore$ The line x + 2y = 0 passes through the origin.

We know that for x + 2y = 0 ,
y = 0 when x = 0.
Therefore, (0,3) does not lie on the line.