# Midpoint of a line

The point exactly halfway along a line segment. Find it by averaging the x values and averaging the y values.

Maths (school) · Part 04: Graphs · Card 5 of 8 · Last updated 2026-10-19

## Analogy

Like meeting a friend halfway between your two houses.

## Example

**Points (2, 3) and (8, 7)**

x: (2 + 8) / 2 = 5
y: (3 + 7) / 2 = 5
Midpoint = (5, 5)

## In practice

Choosing a halfway meeting spot on a map uses the midpoint.

## Practice

### Flashcards

- **What is the midpoint of (2, 3) and (8, 7)?** (5, 5). Average the x values and average the y values.

## Questions people ask

### What is the midpoint formula?

Add the two x values and divide by 2, then add the two y values and divide by 2. In symbols, the midpoint of (x1, y1) and (x2, y2) is ((x1 + x2) / 2, (y1 + y2) / 2). It is just the average of each coordinate.

### Can a midpoint have decimals or negative numbers?

Yes. If the coordinates add up to an odd number, you get a half, such as 2.5. Negative coordinates work the same way. The midpoint of (-4, 2) and (2, 6) is (-1, 4). Just add carefully, paying attention to the signs.

## Related concepts

- [Gradient](https://studyvisually.com/learn/science/maths-school/maths-school-part-4/maths-school-part-4-concept-2)
- [y = mx + c](https://studyvisually.com/learn/science/maths-school/maths-school-part-4/maths-school-part-4-concept-3)
- [Parallel and perpendicular lines](https://studyvisually.com/learn/science/maths-school/maths-school-part-4/maths-school-part-4-concept-4)
- [Coordinates](https://studyvisually.com/learn/science/maths-school/maths-school-part-4/maths-school-part-4-concept-1)

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