Answer
$m=1$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope of the line passing through the given points $(
5,-3
)$ and $(
1,-7
)$ is
\begin{array}{l}\require{cancel}
m=\dfrac{-3-(-7)}{5-1}
\\\\
m=\dfrac{-3+7}{5-1}
\\\\
m=\dfrac{4}{4}
\\\\
m=1
.\end{array}