Question

Prove that the line joining the points $(4,-3)$ and $(-8,6)$ passes through the origin.

Answer 1

Now the line joining the points $(4,-3)$ and $(-8,6)$ is

$\frac{y+3}{6+3}=\frac{x-4}{-8-4}$

or, $-12y-72=9x-72$

or, $9x+12y=0$

Since the equation of the line is satisfied by the origin so the line passes through the origin.