Answer
$ 2\sqrt (26)$ units
Work Step by Step
Step 1: $(-6,3)=(x_{1},y_{1})$ and $(-8,-7)=(x_{2},y_{2})$
Step 2: The distance between two points is found by the formula,
$d=\sqrt ((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})$
Step 3: $d=\sqrt ((-8-(-6))^{2}+(-7-(3))^{2})$
Step 4: $d=\sqrt ((-8+6))^{2}+(-10)^{2})$
Step 5: $d=\sqrt ((-2)^{2}+(-10)^{2})$
Step 6: $d=\sqrt (104)$
Step 7: $d=\sqrt (4\times26)$
Step 8: $d=\sqrt 4\times\sqrt 26$
Step 9: $d=2\sqrt (26)$ units