Answer
$m=0$
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, $\left(
-2,\dfrac{1}{2}
\right) \text{ and } \left(
-5,\dfrac{1}{2}
\right)$, is
\begin{array}{l}
m=\dfrac{\dfrac{1}{2}-\dfrac{1}{2}}{-2-(-5)}
\\\\
m=\dfrac{0}{3}
\\\\
m=0
.\end{array}