Answer
$d=2\sqrt{26}$
Work Step by Step
Using $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ (or the Distance Formula), then the distance, $d$, between the given points $
(-6,3) \text{ and } (-8,-7)
,$ is
\begin{array}{l}\require{cancel}
d=\sqrt{(-6-(-8))^2+(3-(-7))^2}
\\\\
d=\sqrt{(-6+8)^2+(3+7)^2}
\\\\
d=\sqrt{(2)^2+(10)^2}
\\\\
d=\sqrt{4+100}
\\\\
d=\sqrt{104}
\\\\
d=\sqrt{4\cdot26}
\\\\
d=\sqrt{(2)^2\cdot26}
\\\\
d=2\sqrt{26}
.\end{array}
