Answer
$m=\dfrac{2}{3}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, then the slope of the line containing the given points, $(
-4,0
) \text{ and } (
5,6
)$, is
\begin{array}{l}
m=\dfrac{0-6}{-4-5}
\\\\
m=\dfrac{-6}{-9}
\\\\
m=\dfrac{2}{3}
.\end{array}