Answer
a) 6.7
b) (-2.5,-2)
Work Step by Step
a) Use the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
$d=\sqrt{(-4-(-1))^2+(-5-1)^2}$
$d=\sqrt{(-3)^2+(-6)^2}$
$d=\sqrt{9+36}$
$d=\sqrt{45}$
$d=6.7$
b) Use the midpoint formula:
$M_x=\frac{x_1+x_2}{2}=\frac{-1+(-4)}{2}=\frac{-5}{2}=-2.5$
$M_y=\frac{y_1+y_2}{2}=\frac{1+(-5)}{2}=\frac{-4}{2}=-2$
