Answer
$m=1$
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, $\left(
5,-4
\right) \text{ and } \left(
2,-7
\right)$, is
\begin{array}{l}
m=\dfrac{-4-(-7)}{5-2}
\\\\
m=\dfrac{-4+7}{5-2}
\\\\
m=\dfrac{3}{3}
\\\\
m=1
.\end{array}