Question

Determine whether the following point is collinear.
A(–1, –1), B(0, 1), C(1, 3)

Answer 1

A(–1, –1), B(0, 1), C(1, 3)
Slope of AB = \[\frac{1 - \left( - 1 \right)}{0 - \left( - 1 \right)} = \frac{2}{1} = 2\]

Slope of BC = \[\frac{3 - 1}{1 - 0} = \frac{2}{1} = 2\]

Slope of AB = Slope of BC = 2
Thus, the given points are collinear.