Question

Find the midpoint of the segment below and enter its coordinates as an

ordered pair. If necessary, express coordinates as fractions, using the slash
mark(/) for the fraction bar.
15--
Answer here
-10
10
(-8, -7)
(-7,-8) -10-+

Answer 1

(-7 1/2, -7 1/2)

Explanation:

Midpoint is 1/2 the x difference and 1/2 the y difference.

The x distance is the absolute values (can't have a negative distance) of

(x2 - x1) / 2 and the y distance is (y2 - y1) / 2.

So

Dx = (-8 -(-7)) / 2 = -1 / 2 or 1 / 2 and

Dy = (-7 - (-8)) / 2 = 1 /2 or 1 / 2

pick the point with the largest -x or smallest +x value and add distance

x = -8 + 1/2 = -7 1/2

pick the point with the largest -y or smallest +y value and add distance

y = -8 + 1/2 = -7 1/2

so midpoint is (-7 1/2, -7 1/2)