How to use the Midpoint Calculator
Enter x and y for the first point and x and y for the second. The result is the point exactly halfway between them.
Worked example
For the points (2, 4) and (8, 10), average the x values to get (2 + 8) ÷ 2 = 5 and the y values to get (4 + 10) ÷ 2 = 7. The midpoint is (5, 7). The order you enter the points in does not change the answer.
Finding a missing endpoint
If you know one end and the midpoint, double the midpoint and subtract the known end. With one end at (2, 4) and a midpoint of (5, 7), the other end is (2 × 5 − 2, 2 × 7 − 4) = (8, 10). This is handy in geometry homework and in layout work.
The formula
Midpoint = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
Examples
- Points (0, 0) and (4, 6)
Midpoint: 2, 3
- Points (−2, 3) and (8, −5)
Midpoint: 3, -1
- Points (1.5, 2) and (4.5, 9)
Midpoint: 3, 5.5
Limitations and assumptions
Works on a flat coordinate plane. For far apart places on a map, the halfway point on the curved Earth can differ slightly.
Frequently asked questions
What is the midpoint formula?
((x1 + x2) ÷ 2, (y1 + y2) ÷ 2).
Does the order of the points matter?
No, the midpoint is the same either way.
How do I find an endpoint from the midpoint?
Double the midpoint and subtract the known endpoint.
Can it handle negative numbers?
Yes.