what is the slope of this line? (-6, 8) (-4, 5)

Explanation:

Step1: Recall slope formula

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

Step2: Identify points

Let $(x_1,y_1)=(-6,8)$ and $(x_2,y_2)=(-4,5)$.

Step3: Substitute values

$m=\frac{5 - 8}{-4-(-6)}=\frac{-3}{-4 + 6}=\frac{-3}{2}=-\frac{3}{2}$.

Answer:

$-\frac{3}{2}$