How to Find the Midpoint of a Line Segment

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

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):

Here’s how this segment looks in graph form.

The midpoint of this line segment is (–1,2).