#### Answer

$d\approx 6.40
\text{ units}
$

#### 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 $(
-8,-4
)$ and $(
-3,-8
)$ is
\begin{array}{l}\require{cancel}
d=\sqrt{(-8-(-3))^2+(-4-(-8))^2}
\\\\
d=\sqrt{(-8+3)^2+(-4+8)^2}
\\\\
d=\sqrt{(-5)^2+(4)^2}
\\\\
d=\sqrt{25+16}
\\\\
d=\sqrt{41}
\\\\
d\approx 6.40
\text{ units}
.\end{array}