Answer
Distance = $5\sqrt2$ units
Midpoint: $(1.5, 0.5)$
Work Step by Step
RECALL:
(1) The distance between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$
(2) The midpoint of the two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:
$=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$
Use the formulas above to obtain:
$d=\sqrt{(-1-4)^2+[3-(-2)]^2}
\\d=\sqrt{(-5)^2+(5)^2}
\\d=\sqrt{25+25}
\\d=\sqrt{50}
\\d=\sqrt{25(2)}
\\d=\sqrt{5^2(2)}
\\d=5\sqrt2$
Midpoint:
$=\left(\dfrac{-1+4}{2}, \dfrac{3+(-2)}{2}\right)=(1.5, 0.5)$
