Answer
$m=\dfrac{3}{2}$
Work Step by Step
With the given points,
\begin{array}{l}\require{cancel}
y_1=
7
,\\y_2=
1
,\\x_1=
-1
,\text{ and }\\ x_2=
-5
.\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{7-1}{-1-(-5)}
\\\\
m=\dfrac{7-1}{-1+5}
\\\\
m=\dfrac{6}{4}
\\\\
m=\dfrac{3}{2}
.\end{array}
