Answer
$m=-\dfrac{6}{5}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$, the slope of the line determined by the given points, $(
2,8
) \text{ and } (
7,2
),$ is
\begin{array}{l}\require{cancel}
m=\dfrac{8-2}{2-7}
\\\\
m=\dfrac{6}{-5}
\\\\
m=-\dfrac{6}{5}
.\end{array}