Question

find the slope of the line passing through the points (-7, 8) and (5, -7).

Explanation:

Step1: Recall slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Assign point values

Let $(x_1,y_1)=(-7,8)$, $(x_2,y_2)=(5,-7)$

Step3: Substitute into formula

$m = \frac{-7 - 8}{5 - (-7)} = \frac{-15}{12}$

Step4: Simplify the fraction

$m = \frac{-5}{4}$

Answer:

$\frac{-5}{4}$