Answer
$m=0$
Work Step by Step
With the given points,
\begin{array}{l}\require{cancel}
y_1=
-\dfrac{1}{2}
,\\y_2=
-\dfrac{1}{2}
,\\x_1=
-2
,\text{ and }\\ x_2=
5
.\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{-\dfrac{1}{2}
-\left(-\dfrac{1}{2}
\right)}{-2-5}
\\\\
m=\dfrac{-\dfrac{1}{2}
+\dfrac{1}{2}}{-2-5}
\\\\
m=\dfrac{0}{-7}
\\\\
m=0
.\end{array}
