Answer
$m=\dfrac{5}{3}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, then the slope, $m$, of the line containing the given points, $(
-5,-2
)\text{ and } (
1,8
)$, is
\begin{array}{l}
m=\dfrac{-2-8}{-5-1}
\\\\
m=\dfrac{-10}{-6}
\\\\
m=\dfrac{5}{3}
.\end{array}
