# Midpoint Calculator

URL: https://speedycalculator.com/calculators/math/midpoint/
Last updated: 2026-10-30

> The midpoint calculator finds the point halfway between two points (x₁, y₁) and (x₂, y₂), and the length of the segment.

## Inputs

- First point – x
- First point – y
- Second point – x
- Second point – y

## Results

- x midpoint
- y midpoint
- Segment length
- Distance from each end to the midpoint

## Formula

```
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
```

## Explanation

The midpoint is the average of the endpoints. It is used to bisect segments, find centres of circles from a diameter, and locate meeting points halfway between two places on a grid.

### How to use the Midpoint Calculator

- **First point – x**
- **First point – y**
- **Second point – x**
- **Second point – y**

Results update as you type, and everything is calculated in your browser.

### How it works

Each coordinate of the midpoint is the mean of the corresponding coordinates of the endpoints.

### Inputs explained

FieldWhat to enterFirst point – xA numberFirst point – yA numberSecond point – xA numberSecond point – yA number

### What each result means

- **x midpoint** = ([First point – x] + [Second point – x])÷2
- **y midpoint** = ([First point – y] + [Second point – y])÷2
- **Segment length** = sqrt(([Second point – x] - [First point – x])^2 + ([Second point – y] - [First point – y])^2)
- **Distance from each end to the midpoint** = sqrt(([Second point – x] - [First point – x])^2 + ([Second point – y] - [First point – y])^2)÷2

### Example values

How the main result changes when **First point – x** changes and everything else stays at the example values above:

First point – xx midpoint-12.5-1.52.25-22-2.51.75-31.5-41

## Worked example

Inputs — First point – x: -2; First point – y: 3; Second point – x: 6; Second point – y: 9.

Results — **x midpoint = 2**; y midpoint = 6; Segment length = 10; Distance from each end to the midpoint = 5.

## Key terms

- **Midpoint**: The point dividing a segment into two equal parts.

## FAQ

**What is the midpoint of (−2, 3) and (6, 9)?**
(2, 6).

**Does the midpoint formula work in 3D?**
Yes – average the z-coordinates too.

**How do I find an endpoint from the midpoint?**
Use the endpoint calculator: x₂ = 2x_M − x₁.

**Is the midpoint on the perpendicular bisector?**
Yes, by definition.


## Sources

- [OpenStax – College Algebra 2e](https://openstax.org/details/books/college-algebra-2e)
- [OpenStax – Precalculus 2e](https://openstax.org/details/books/precalculus-2e)