Answer
$m=0$
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 $(
4,-5
)$ and $(
-1,-5
)$ is
\begin{array}{l}\require{cancel}
m=\dfrac{-5-(-5)}{4-(-1)}
\\\\
m=\dfrac{-5+5}{4+1}
\\\\
m=\dfrac{0}{5}
\\\\
m=0
.\end{array}