Answer
$\sqrt {41}$ units
Work Step by Step
Let $P=(x_{1},y_{1})=(-3,5)$ and $Q=(x_{2},y_{2})=(-8,9)$
Finding the distance between P and Q,
$d(P,Q)=\sqrt {(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$
$d(P,Q)=\sqrt {(-8-(-3))^{2}+(9-5)^{2}}$
$d(P,Q)=\sqrt {(-8+3)^{2}+(4)^{2}}$
$d(P,Q)=\sqrt {(-5)^{2}+(4)^{2}}$
$d(P,Q)=\sqrt {25+16}$
$d(P,Q)=\sqrt {41}$ units