Overview
The midpoint is the point exactly halfway along the segment joining two points. It is found by averaging the x-coordinates and the y-coordinates, and it is used in symmetry and analytic geometry.
Formula
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2).
How it works
1
Read the coordinates
Identify both points clearly.
2
Add the x-coordinates
Divide the sum by 2.
3
Add the y-coordinates
Divide the sum by 2.
4
Write the point
The result is (average x, average y).
Worked examples
Example 1: (0, 0) and (4, 6)
The midpoint is (2, 3).
Example 2: (−2, 5) and (6, −1)
The midpoint is (2, 2).
Frequently asked questions
Does the midpoint always lie on the segment?
Yes, because it is the halfway point between the endpoints.
How can I check the answer?
Compute the distance from the midpoint to each endpoint; they should be equal.
Does the formula work with negative numbers?
Yes. Addition and division work with all real numbers.
This calculator is for educational and informational purposes only and is not a substitute for professional advice.