Question

Determine whether the following point is collinear.

P(2, –5), Q(1, –3), R(–2, 3)

Answer 1

P(2, –5), Q(1, –3), R(–2, 3)

\[\text { Slope of PQ }  = \frac{- 3 - \left( - 5 \right)}{1 - 2} = \frac{2}{- 1} = - 2\]

\[\text{ Slope of QR } = \frac{3 - \left( - 3 \right)}{- 2 - 1} = \frac{6}{- 3} = - 2\]

Slope of PQ = Slope of QR
So, the given points are collinear.