Answer
(a) Refer to the image below for the plot.
(b) Distance between the two points = $13$ units
(c) Midpoint of segment joining the two points: $(4, 2.5)$
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:
$d=\sqrt{(-2-10)^2+(5-0)^2}
\\d=\sqrt{(-12)^2+5^2}
\\d=\sqrt{144+25}
\\d=\sqrt{169}
\\d=13$
(c)
Find the mmidpoint 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 = $\left(\frac{-2+10}{2}, \frac{5+0}{2}\right)=(4, 2.5)$
