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