Finds the point exactly halfway between two coordinates on a plane.
How it works
The midpoint’s x-coordinate is the average of the two x-values, and its y-coordinate is the average of the two y-values.
What this does not include
This does not include the distance between the two points — for that, use this site’s distance calculator instead.
How to use this calculator
- Enter both points’ x and y coordinates.
A worked example
Points (0, 0) and (4, 6): midpoint = ((0+4)/2, (0+6)/2) = (2, 3).
Points (2, 3) and (8, −1): midpoint = (5, 1).
What the variables mean
| Variable | Meaning |
|---|---|
| (x1, y1) | First point’s coordinates |
| (x2, y2) | Second point’s coordinates |
Edge cases worth knowing
The midpoint is simply the average of each coordinate — average the x-values, average the y-values, independently of each other.
Negative coordinates work exactly the same way — the second example above averages a positive and a negative y-value (3 and −1) down to 1, with no special handling needed.
Frequently asked questions
Why is the midpoint just an average of coordinates?
Because the midpoint lies exactly halfway along the straight line connecting the two points, and averaging each coordinate finds exactly that halfway position.
What’s a real-world use for the midpoint formula?
Finding the center point of a line segment, such as locating the middle of a property boundary or a design layout.
Does this work in three dimensions too?
The same averaging principle extends directly to a z-coordinate for 3D points, though this calculator specifically handles the 2D case.
