Answer
$m=-\dfrac{4}{3}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope, $m,$ of the line passing through the given points $(
-4,5
)$ and $(
2,-3
)$ is
\begin{array}{l}\require{cancel}
m=\dfrac{5-(-3)}{-4-2}
\\\\
m=\dfrac{5+3}{-4-2}
\\\\
m=\dfrac{8}{-6}
\\\\
m=\dfrac{\cancel{2}(4)}{\cancel{2}(-3)}
\\\\
m=\dfrac{4}{-3}
\\\\
m=-\dfrac{4}{3}
.\end{array}
