Determine whether the three points are collinear.
-$$( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

To determine if three points are collinear, we can check if the slopes between each pair of points are equal. The slope between the first two points $(16, -1)$ and $(7, 5)$ is $\frac{5 - (-1)}{7 - 16} = \frac{6}{-9} = -\frac{2}{3}$. The slope between the first and the third points $(16, -1)$ and $(25, -7)$ is $\frac{-7 - (-1)}{25 - 16} = \frac{-6}{9} = -\frac{2}{3}$. Since the slopes are equal, the points are collinear.

Determine Whether the Three Points Are Collinear (16,−1),(7,5),(25,−7)( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )(16,−1),(7,5),(25,−7)

Determine Whether the Three Points Are Collinear $( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )$