Question

By using the concept of equation of a line, prove that the three points (-2, -2), (8, 2) and (3, 0) are collinear.

Answer 1

$\text{Let the given points be}A(-2,-2),B(8,2)andC(3,0)\text{The equation of the line passing through}A(-2-2)andB(8,2)isy+2=\frac{2+2}{8+2}(x+2)\Rightarrow y+2=\frac{2}{5}(x+2)\Rightarrow 5y+10=2x+4\Rightarrow 2x-5y-6=0\text{Clearly, point C(3, 0) satisfies the equation 2x - 5y - 6 = 0}\text{Hence, the given points are collinear.}$