Answer
$m=-\dfrac{3}{4}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ (or the Slope Formula), the slope, $m$, of the line through $(
7,-2
) \text{ and } (
-5,7
)$ is
\begin{array}{l}
m=\dfrac{-2-7}{7-(-5)}
\\\\
m=\dfrac{-2-7}{7+5}
\\\\
m=\dfrac{-9}{12}
\\\\
m=\dfrac{-3}{4}
\\\\
m=-\dfrac{3}{4}
.\end{array}
