Answer
$d=5.4$
$M(3,.5)$
Work Step by Step
Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(4-2)^2+(-2-3)^2}$
$d=\sqrt{(2)^2+(-5)^2}$
$d=\sqrt{4+25}$
$d=\sqrt{29}$
$d\approx5.4$
Use the midpoint formula to find the x-coordinate of the midpoint:
$x_m=\frac{x_1+x_2}{2}=\frac{2+4}{2}=\frac{6}{2}=3$
Use the midpoint formula to find the y-coordinate of the midpoint:
$y_m=\frac{y_1+y_2}{2}=\frac{3+(-2)}{2}=\frac{1}{2}=0.5$
