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# Determine Whether the Following Point is Collinear. A(–1, –1), B(0, 1), C(1, 3) - Geometry

#### Question

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

#### Solution

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.

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