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.
Substitute the coordinates of points A and B into the formula:
ABx = (6 + 3) / 2 = 9/2 = 4.5; ABy = (5 + 6) / 2 = 11/2 = 5.5.
The coordinates of the midpoint of the segment for points B (6; 5) and C (3; 6) are AB (4.5; 5.5).
Answer: the middle of the segment AB (4.5; 5.5).
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