Question

The equation $y=mx$ represents ___ ;
where, $(m\ne 0)$.

• A. a line parallel to x-axis
• B. a line parallel to y-axis
• C. a line passing through the origin
• D. a line cutting x-axis at the point $(m,0)$

Answer 1

The correct option is C a line passing through the origin

Given equation: $y=mx$
Substituting $x=0$,
$y=m\times 0=0$
So, if x = 0, then y = 0.

i.e, $(0,0)$ is a point on the line.
Therefore, the line passes through the origin.