Midpoint Calculator
Enter two points below to instantly find the point exactly halfway between them.
The Midpoint Formula
Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2). It's just the average of the two points' x-coordinates paired with the average of their y-coordinates.
A common mistake is subtracting the coordinates instead of adding them before dividing — that's the setup for slope or distance, not midpoint. Midpoint always adds the two x-values and the two y-values, then divides each sum by 2.
Worked example
Find the midpoint of (2, 3) and (8, 11).
x: (2 + 8) / 2 = 5
y: (3 + 11) / 2 = 7
Midpoint = (5, 7)
A second example, with points (−4, 1) and (6, −7).
x: (−4 + 6) / 2 = 1
y: (1 + (−7)) / 2 = −3
Midpoint = (1, −3)
Keep going
- Midpoint and distance both start from the same two coordinate points; the distance formula calculator finds how far apart they are instead of the point exactly between them. Distance Formula Calculator
Frequently Asked Questions
What is the midpoint formula?
The midpoint of two points (x1, y1) and (x2, y2) is ((x1 + x2) / 2, (y1 + y2) / 2) — simply the average of the x-coordinates and the average of the y-coordinates.
Is the midpoint the same as the distance between two points?
No. The midpoint is a location exactly halfway between two points. Distance is a single number describing how far apart they are. They're calculated from the same two points but answer different questions.
Does the midpoint formula work in 3D?
Yes, extended the same way: average each coordinate separately. In 3D, that means adding a z-coordinate: ((x1+x2)/2, (y1+y2)/2, (z1+z2)/2).
How can you check a midpoint calculation is correct?
A true midpoint sits exactly the same distance from each original point. Apply the distance formula between the midpoint and each endpoint separately — both results should come out equal, and each should be exactly half the distance between the two original points.
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