Answer
(a) $d=10$
(b) midpoint=$(1,0)$
Work Step by Step
(a) We find the distance between the two points $(-3,3)$ and $(5, -3)$ by using the distance formula:
$d=\sqrt{(-3-5)^{2}+(3--3)^{2}}=\sqrt{(-8)^{2}+6^{2}}=\sqrt{64+36}=\sqrt{100}=10$
(b) We use the Midpoint Formula:
midpoint=$(\displaystyle \frac{-3+5}{2},\ \frac{3+(-3)}{2})=(1,0)$
