Question

Determine whether the following point is collinear.

R(1, –4), S(–2, 2), T(–3, 4)

Answer 1

R(1, –4), S(–2, 2), T(–3, 4)

\[\text { Slope of RS } = \frac{2 - \left( - 4 \right)}{- 2 - 1} = \frac{6}{- 3} = - 2\]

\[\text {Slope of ST} = \frac{4 - 2}{- 3 - \left( - 2 \right)} = \frac{2}{- 1} = - 2\]

Slope of RS = Slope of ST
So, the given points are collinear.