Question

find the slope of the line passing through the points (-1, 8) and (-7, 5).

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 $(x_1,y_1)=(-1,8)$ and $(x_2,y_2)=(-7,5)$

Step3: Substitute into formula

$m=\frac{5-8}{-7-(-1)}=\frac{-3}{-6}$

Step4: Simplify the fraction

$m=\frac{1}{2}$

Answer:

$\frac{1}{2}$