# Midpoint Formula

See how to use the midpoint formula

to find the midpoint of a line segment.

3 examples and their solutions.

## Midpoint Formula: Number Line

### Formula

M(x

_{1}+ x

_{2}2)

### Example

Midpoint of AB?

Solution M(-1 + 52)

= (42)

= (2)

Close

## Midpoint Formula: Coordinate Plane

### Formula

M(x

_{1}+ x

_{2}2, y

_{1}+ y

_{2}2)

### Example

Midpoint of AB?

Solution M(-3 + 52, 1 + 42)

= (22, 52)

= (1, 52)

Close

### Example

Coordinates of point B?

Solution M(-4 + p2, 5 + q2) = (0, 2) - [1]

-4 + p2 = 0 - [2]

-4 + p = 0

p = 4

5 + q2 = 2 - [3]

5 + q = 4

q = -1

B(4, -1)

[1]

Set B(p, q).

The midpoint of AB is

M([-4 + p]/2, [5 + q]/2).

This is equal to M(0, 2).

The midpoint of AB is

M([-4 + p]/2, [5 + q]/2).

This is equal to M(0, 2).

[2]

The x values are equal.

[3]

The y values are equal.

Close