Answer
$\sqrt{41}\text{ units}$
Work Step by Step
Using the Distance Formula, $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$, the distance between the given points is
\begin{array}{l}
\sqrt{(-3-(-8))^2+(5-9)^2}
\\=
\sqrt{25+16}
\\=
\sqrt{41}\text{ units}
.\end{array}