Find the coordinate of point C which is the midpoint of the segment with ends at points A (-6.8) and B (12.4).

univerkov | September 2, 2021 | education

The midpoint of a line is a point that lies on the line and is equidistant from the endpoints.

The formula for calculating the coordinates of the midpoint of a segment with ends A (xa, ya) and B (xb, yb) on the plane:

xc = (xa + xb) / 2; yc = (ya + yb) / 2.

In our case, the end points are A (-6; 8) and B (12; 4), while xa = -6, xb = 8, ya = 12, yb = 4.

Substitute the values of the coordinates of points A and B into the formula:

Cx = (-6 + 8) / 2 = 2/2 = 1; Сy = (12 + 4) / 2 = 16/2 = 8.

The coordinates of the midpoint of the segment for points A (-6; 8) and B (12; 4) are point C (1; 8).

Answer: the middle of the segment AB is point C (1; 8).

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