Question

Verify whether the points $(1,5)$,$(2,3)$,and$(-2,-1)$ are collinear or not.

Answer 1

Given points $(1,5),(2,3)(-2,-1)$

Lets find a equation of line passing through $(1,5)(2,3)$

$\to \frac{y-5}{x-1}=\frac{2-1}{3-5}$

$\to -2(y-5)=x-1$

$\to -2y+10=x-1$

$\to x+2y=11$

Point $(-2,-1)\Rightarrow -2+2(-1)=-4\ne 11$

So, point $(-2,-1)$ do uot passes through line all thsee points are not collinear.