Determine whether the three points are collinear.
-$( 13 , - 10 ) , ( 5 , - 4 ) , ( 7 , - 2 )$

Question

Quizplus · Accepted Answer

To determine if three points are collinear, we can use the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ to compare the slopes between each pair of points. If all slopes are equal, the points are collinear. For points $(13, -10)$, $(5, -4)$, and $(7, -2)$:Slope between $(13, -10)$ and $(5, -4)$ is $\frac{-4 - (-10)}{5 - 13} = \frac{6}{-8} = -\frac{3}{4}$.Slope between $(5, -4)$ and $(7, -2)$ is $\frac{-2 - (-4)}{7 - 5} = \frac{2}{2} = 1$.Since the slopes are not equal ($-\frac{3}{4} \neq 1$), the points are not collinear.

Determine Whether the Three Points Are Collinear (13,−10),(5,−4),(7,−2)( 13 , - 10 ) , ( 5 , - 4 ) , ( 7 , - 2 )(13,−10),(5,−4),(7,−2)

Determine Whether the Three Points Are Collinear $( 13 , - 10 ) , ( 5 , - 4 ) , ( 7 , - 2 )$