Determine if the given points are collinear. (-2, 5), (0, 10), (-6, -5)
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if points are collinear, we can use the slope formula, $m = \frac{y_2 - y_1}{x_2 - x_1}$, between each pair of points. If the slopes are equal, the points are collinear. For points (-2, 5) and (0, 10), the slope is $\frac{10 - 5}{0 - (-2)} = \frac{5}{2}$. For points (-2, 5) and (-6, -5), the slope is $\frac{-5 - 5}{-6 - (-2)} = \frac{-10}{-4} = \frac{5}{2}$. Since the slopes are equal, the points are collinear.

Determine If the Given Points Are Collinear