Answer
$\sqrt{41}$
Work Step by Step
To find the distance between two points $(x_1,y_1)$ and ($x_2$,$y_2$), we use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
We apply this to points $(-4,2)$ and $(-8,-3)$:
$=\sqrt{(-8-(-4))^{2}+(-3-2)^{2}}$
$=\sqrt{(-4)^{2}+(-5)^{2}}$
$=\sqrt{16+25}$
$=\sqrt{41}$
