What is the midpoint formula?

M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). Average the x coordinates and average the y coordinates.

How do I find an endpoint from the midpoint?

Double the midpoint and subtract the known endpoint: x₂ = 2Mx − x₁ and y₂ = 2My − y₁.

Does it work with negative coordinates?

Yes. The midpoint of (−4, 2) and (6, −8) is (1, −3).

Is the midpoint the same as the center?

For a line segment, yes. For a circle drawn with a diameter between the two points, the midpoint is its center.

Midpoint calculator

Midpoint of a line segment.

Midpoint

(5, 7)

((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)

Distance between the points
Change in x, y
Slope

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How to find the midpoint

Enter the two endpoints (x₁, y₁) and (x₂, y₂), with z values for 3D if you need them.
Read the midpoint: the average of the x values and the average of the y values.
The distance between the points is shown too.

Example

The midpoint of (2, 3) and (8, 11) is ((2 + 8) ÷ 2, (3 + 11) ÷ 2) = (5, 7). The distance between them is √(36 + 64) = 10, so the midpoint is 5 from each end.

Uses

The midpoint is where to put the centre of a circle drawn through two points as its diameter, where a perpendicular bisector crosses a segment, and the halfway meeting point between two locations on a map grid. On a number line it’s just the average of the two numbers.