Answer
distance between the two points = 5
midpoint of the segment joining the two points: $(0, 0.5)$
Work Step by Step
RECALL:
(i) The distance, d, between the points (a, b) and (c, d) can be found using the distance formula:
$\\d=\sqrt{(a-c)^2+(b-d)^2}$
(ii) The midpoint of the points (a, b) and (c, d) can be found using the midpoint formula:
$\\\text{midpoint} = \left(\frac{a+c}{2}, \frac{b+d}{2}\right)$
The two points are (-2, -1) and (2, 2).
Use the formulas above to have:
(a) distance between the two points:
$=\sqrt{(-2-2)^2+(-1-2)^2}
\\=\sqrt{(-4)^2+(-3)^2}
\\=\sqrt{16+9}
\\=\sqrt{25}
\\=5$
(b) midpoint of the segment that joins them:
$\\=\left(\frac{-2+2}{2}, \frac{-1+2}{2}\right)
\\=(0, 0.5)$