Question

Find equation of the line passing through $(0,0)$ with slope $m$.

Answer 1

We know that, the equation of line passing through point $(x_0,y_0)$ whose slope is $m$ is
$(y-y_0)=m(x-x_0)$
Thus the equation of the line passing through the point $(0,0)$ with slope $m$ is
$(y-0)=m(x-0)\Rightarrow y=mx$