Midpoint Calculator
Find the midpoint between two points on a coordinate plane. Free midpoint calculator showing the (x, y) midpoint and segment length with step-by-step working.
Updated 2026-06-14 · Free · No sign-up · Runs privately in your browser
Show the formula & steps
How the Midpoint Calculator Works
Enter the coordinates of two points — (x₁, y₁) and (x₂, y₂) — and this calculator returns their midpoint, the exact point halfway between them, plus the length of the segment connecting them. Each step is shown so you can check the working.
The Formula
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
You average the x-coordinates to find the midpoint’s x-value, and average the y-coordinates to find its y-value. The result is the balance point of the segment.
Worked Example
Find the midpoint of (2, 3) and (8, 11):
- x of midpoint = (2 + 8) ÷ 2 = 10 ÷ 2 = 5
- y of midpoint = (3 + 11) ÷ 2 = 14 ÷ 2 = 7
- Midpoint = (5, 7)
Midpoint Examples
| Point 1 | Point 2 | Midpoint |
|---|---|---|
| (0, 0) | (6, 8) | (3, 4) |
| (2, 3) | (8, 11) | (5, 7) |
| (−4, 2) | (4, −6) | (0, −2) |
| (1, 1) | (4, 4) | (2.5, 2.5) |
Where the Midpoint Is Used
The midpoint is central to geometry and design. It locates the center of a line segment or a rectangle’s diagonal, helps construct perpendicular bisectors, finds the center of a circle from two endpoints of a diameter, and supports interpolation in computer graphics and mapping. Pairing it with the distance formula fully describes any segment.
Frequently asked questions
What is the midpoint formula?+
The midpoint formula finds the point exactly halfway between two points (x₁, y₁) and (x₂, y₂): M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2). In words, you average the x-coordinates and average the y-coordinates separately.
How do you find the midpoint between two points?+
Add the two x-values and divide by 2 to get the midpoint's x-coordinate, then add the two y-values and divide by 2 for its y-coordinate. For (2, 3) and (8, 11) the midpoint is ((2 + 8) ÷ 2, (3 + 11) ÷ 2) = (5, 7).
Can the midpoint have decimal or negative coordinates?+
Yes. Because you are averaging, the midpoint often lands between whole numbers, such as 2.5, and it can be negative if the points are in negative regions of the plane. The midpoint of (1, 0) and (4, 0) is (2.5, 0).
How do I find an endpoint if I know the midpoint?+
Rearrange the formula: if M is the midpoint and you know one endpoint A, the other endpoint B is B = (2·Mx − Ax, 2·My − Ay). You double the midpoint coordinates and subtract the known endpoint's coordinates.
What is the difference between the midpoint and the distance formula?+
The midpoint formula locates the center point of a segment, returning a coordinate pair. The distance formula measures the length of the segment, returning a single number. This calculator shows both: the midpoint and the segment's length.