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How to Find the Midpoint of a Line Segment

The middle of a line segment is its midpoint. To find the midpoint of a line segment, you just calculate the averages of the coordinates — easy as pie.

The midpoint, M, of a segment with endpoints (x1,y1) and (x2,y2) is

image0.jpg

If you want to know the midpoint of the segment with endpoints (–4,–1) and (2,5), then plug the numbers into the midpoint formula, and you get a midpoint of (–1,2):

image1.jpg

See how this segment looks in graph form in the following figure.

image2.jpg
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