Answer
$m=\dfrac{7}{5}$
Work Step by Step
With the given points, $\left(
-\dfrac{1}{2}, -\dfrac{1}{2}
\right)$ and $\left(
-3,-4
\right)$, then
\begin{array}{l}\require{cancel}
y_1=
-\dfrac{1}{2}
,\\y_2=
-4
,\\x_1=
-\dfrac{1}{2}
,\text{ and }\\ x_2=
-3
.\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}-(-4)}{-\dfrac{1}{2}-(-3)}
\\\\
m=\dfrac{-\dfrac{1}{2}+4}{-\dfrac{1}{2}+3}
\\\\
m=\dfrac{-\dfrac{1}{2}+\dfrac{8}{2}}{-\dfrac{1}{2}+\dfrac{6}{2}}
\\\\
m=\dfrac{\dfrac{7}{2}}{\dfrac{5}{2}}
\\\\
m=\dfrac{\dfrac{7}{\cancel2}}{\dfrac{5}{\cancel2}}
\\\\
m=\dfrac{7}{5}
.\end{array}
Hence, the slope is $
m=\dfrac{7}{5}
$.
