Midpoint Calculator

How to Find the Midpoint Between Two Points

The midpoint is the point exactly halfway between two given points on a coordinate plane.

The midpoint formula

Midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)

Step-by-step

1. Add the two x-coordinates and divide by 2.
2. Add the two y-coordinates and divide by 2.
3. The result is the midpoint (x, y).

Worked example

Points (2, 4) and (8, 10): x = (2+8)/2 = 5, y = (4+10)/2 = 7. Midpoint = (5, 7).

When to use

Finding the center of a line segment, locating the midpoint of a map route, determining the center point of a rectangle's diagonal, and in geometry proofs.