Answer
$d=10$
$M(1,-4)$
Work Step by Step
Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(5-(-3))^2+(-7-(-1))^2}$
$d=\sqrt{(8)^2+(-6)^2}$
$d=\sqrt{64+36}$
$d=\sqrt{100}$
$d=10$
Use the midpoint formula to find the x-coordinate of the midpoint:
$x_m=\frac{x_1+x_2}{2}=\frac{-3+5}{2}=\frac{2}{2}=1$
Use the midpoint formula to find the y-coordinate of the midpoint:
$y_m=\frac{y_1+y_2}{2}=\frac{-1+(-7)}{2}=\frac{-8}{2}=-4$
