Answer
$5\sqrt{5}$ units.
Work Step by Step
RECALL:
The distance $d$ between the points $(x_1, y_1)$ and $(x_2, y_2)$ can be found using the distance formula:
$d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
Use the formula above to obtain:
$d=\sqrt{(-4-6)^2+(-3-2)^2}
\\d=\sqrt{(-10)^2+(-5)^2}
\\d=\sqrt{100+25}
\\d=\sqrt{125}
\\d=\sqrt{25(5)}
\\d=\sqrt{5^2(5)}
\\d=5\sqrt{5}$
Thus, the distance between the two given points is $5\sqrt{5}$ units.