Find the coordinates of the midpoint of the segment with the ends A (10; -8), (14; -12).

In order to find the coordinates of the midpoint of the segment with the ends A (10; -8) and B (14; -12), we will apply formulas to calculate the coordinates of the midpoint of the segment.

To find the abscissa of the midpoint of a segment:

x0 = (xa + xb) / 2;

To find the ordinate of the middle of a segment, use the formula:

y0 = (ya + yb) / 2.

We have enough data to calculate, we substitute the values into the formula and calculate:

x0 = (xa + xb) / 2 = (10 + 14) / 2 = 24/2 = 12;

y0 = (ya + yb) / 2 = (-8 + (-12)) / 2 = -20/2 = -10.

The midpoint of the segment has coordinates:

O (12; -10).