Answer
$m=\frac{4}{7}$
Work Step by Step
To find the slope of the line passing through $(-1,-4)$ and $(6,0)$,
we use the slope formula: $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$.
Plug in the given values of $x$ and $y$: $m=\frac{0-(-4)}{6-(-1)}$.
Simplify to arrive at the answer: $m=\frac{4}{7}$.