Question

what is the slope of the line that contains the points (2, -7) and (-1, 5)?
-4
-\frac{1}{4}
\frac{1}{4}
4

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(2,-7)$ and $(x_2,y_2)=(-1,5)$

Step3: Substitute into formula

$m=\frac{5-(-7)}{-1-2}=\frac{5+7}{-3}=\frac{12}{-3}$

Step4: Calculate final slope

$m=-4$

Answer:

-4