Answer
$m=-2$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Slope Formula to find the slope of the line passing through the given points $\left(
2,-2
\right)$ and $\left(
3,-4
\right).$
$\bf{\text{Solution Details:}}$
With the given points,
\begin{array}{l}\require{cancel}
y_1=
-2
,\\y_2=
-4
,\\x_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{-2-(-4)}{2-3}
\\\\
m=\dfrac{-2+4}{2-3}
\\\\
m=\dfrac{2}{-1}
\\\\
m=-2
.\end{array}
