Question

Show that the $(1,1)(-2,7)$ and $(3,-3)$ are collinear.

Answer 1

Line joinig $(1,1)$ and $(3,-3)$ will be

$(y-1)=\left(\frac{-3-1}{3-1}\right)(x-1)$

$y-1=2x+2$

$⟹2x+y=3$

On simplifying with $(-2,7)$.

Since all these points satisfying equation of the line, they are collinear.