Answer
$\dfrac{17}{5}$
Work Step by Step
With the given points,
\begin{array}{l}\require{cancel}
y_1=
-7
,\\y_2=
10
,\\x_1=
-5
,\text{ and }\\ x_2=
0
.\end{array}
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope, $m,$ of the line is
\begin{array}{l}\require{cancel}
m=\dfrac{-7-10}{-5-0}
\\\\
m=\dfrac{-17}{-5}
\\\\
m=\dfrac{17}{5}
.\end{array}
Hence, the slope, $m,$ is $
\dfrac{17}{5}
$.