#### Answer

$m=\dfrac{7}{4}$

#### Work Step by Step

Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope of the line through $(
-8,-12
)$ and $(
8,16
)$ is
\begin{array}{l}\require{cancel}
m=\dfrac{-12-16}{-8-8}
\\\\
m=\dfrac{-28}{-16}
\\\\
m=\dfrac{\cancel{-4}(7)}{\cancel{-4}(4)}
\\\\
m=\dfrac{7}{4}
.\end{array}