Answer
$m=-\dfrac{4}{9}$
Work Step by Step
With the given points, $
(5,2)\text{ and } (-4,6)
,$ then
\begin{array}{l}\require{cancel}
y_1=
2
,\\y_2=
6
,\\x_1=
5
,\text{ and }\\ x_2=
-4
\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{2-6}{5-(-4)}
\\\\
m&=\dfrac{2-6}{5+4}
\\\\
m&=\dfrac{-4}{9}
\end{array}
Hence, the slope is $
m=-\dfrac{4}{9}
$.
