Answer
$PQ=5$
$M(4.5,4)$
Work Step by Step
Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(6-3)^2+(6-2)^2}$
$d=\sqrt{(3)^2+(4)^2}$
$d=\sqrt{9+16}$
$d=\sqrt{25}$
$d=5$
Use the midpoint formula to find the x-coordinate of the midpoint:
$x_m=\frac{x_1+x_2}{2}=\frac{3+6}{2}=\frac{9}{2}=4.5$
Use the midpoint formula to find the y-coordinate of the midpoint:
$y_m=\frac{y_1+y_2}{2}=\frac{2+6}{2}=\frac{8}{2}=4$
