Answer
$d=\sqrt{68}=2\sqrt{17}$
Work Step by Step
To calculate the distance $d$ between two points, we have:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
Plug the $x$ and $y$ coordinates of the given points to obtain:
$d=\sqrt{(5-3)^2+(4-(-4))^2}=\sqrt {4+64}=\sqrt{68}$
If we further simplify, then
$d=\sqrt{68}=\sqrt{4(17)} = 2\sqrt{17}$
