Answer
$m=-\frac{2}{3}$
Work Step by Step
Given the points:
$(-2,8),(1,6)$
The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is
$m=\frac{y_2-y_1}{x_2-x_1}$
Substitute $(x_1,y_1)=(-2,8)$ and $(x_2,y_2)=(1,6)$ to find $m$:
$m=\frac{6-8}{1-(-2)}=-\frac{2}{3}$