Answer
$m=-\dfrac{1}{2}$
Work Step by Step
Using $m=\dfrac{y_1-y_2}{x_1-x_2}$ or the Slope Formula, the slope of the line through $(
0,3
)$ and $(
-2,4
)$ is
\begin{array}{l}\require{cancel}
m=\dfrac{3-4}{0-(-2)}
\\\\
m=\dfrac{3-4}{0+2}
\\\\
m=\dfrac{-1}{2}
\\\\
m=-\dfrac{1}{2}
.\end{array}
