Answer
(a) Refer to the image below for the plot.
(b) Distance between the two points = $\sqrt{61} \approx 7.81$ units
(c) Midpoint of segment joining the two points: $(2.5, -3)$
Work Step by Step
(a) Refer to the attached image in the answer part for the plot.
(b) Solve for the distance between the two points using the distance formula $d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$ to have:
$d=\sqrt{(0-5)^2+(-6-0)^2}
\\d=\sqrt{(-5)^2+(-6)^2}
\\d=\sqrt{25+36}
\\d=\sqrt{61}
\\d\approx 7.81$
(c) Find the midpoint of the segment that joins them by using the midpoint formula: $\text{midpoint}=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)$
Midpoint = $\left(\frac{0+5}{2}, \frac{-6+0}{2}\right)=(2.5,-3)$