WorkedMathGlossary

Midpoint Calculator

Enter two points below to instantly find the point exactly halfway between them.

Point 1
Point 2
Midpoint
(5, 7)

The Midpoint Formula

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2). It's just the average of the two points' x-coordinates paired with the average of their y-coordinates.

Worked example

Find the midpoint of (2, 3) and (8, 11).

x: (2 + 8) / 2 = 5

y: (3 + 11) / 2 = 7

Midpoint = (5, 7)

Frequently Asked Questions

What is the midpoint formula?

The midpoint of two points (x1, y1) and (x2, y2) is ((x1 + x2) / 2, (y1 + y2) / 2) — simply the average of the x-coordinates and the average of the y-coordinates.

Is the midpoint the same as the distance between two points?

No. The midpoint is a location exactly halfway between two points. Distance is a single number describing how far apart they are. They're calculated from the same two points but answer different questions.

Does the midpoint formula work in 3D?

Yes, extended the same way: average each coordinate separately. In 3D, that means adding a z-coordinate: ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).

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