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(x1 + x22)
Example
Midpoint of AB?
Solution M(-1 + 52)
= (42)
= (2)
Close
Midpoint Formula: Coordinate Plane
Formula
M(x1 + x22, y1 + y22)
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