Determine whether the three points are collinear.
-(2, 11), (-2, 3), (10, 15)
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if three 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 all three pairs of points have the same slope, the points are collinear. For points (2, 11) and (-2, 3), the slope is $m = \frac{3 - 11}{-2 - 2} = \frac{-8}{-4} = 2$. For points (2, 11) and (10, 15), the slope is $m = \frac{15 - 11}{10 - 2} = \frac{4}{8} = 0.5$. Since the slopes are different, the points are not collinear.

Determine Whether the Three Points Are Collinear