#### Answer

$\sqrt 80$ units

#### Work Step by Step

(-4,1) and (4,5)
To find the distance between the two points we need to use the distance formula
$\sqrt (x2-x1)^{2} + (y2-y1)^{2}$
$\sqrt (4+4)^{2} + (5-1)^{2}$
$\sqrt (8)^{2} + 4^{2}$ = $\sqrt 80$ units