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