Enter two points
Point 1 (x1, y1)
Point 2 (x2, y2)
Midpoint
(5, 7)
Distance
10
Slope
1.3333
Frequently Asked Questions about the Midpoint Calculator
What is the midpoint formula?
For two points (x1, y1) and (x2, y2), the midpoint is ((x1 + x2) / 2, (y1 + y2) / 2). You average each coordinate independently. For example, the midpoint of (1, 2) and (5, 8) is (3, 5). The calculator rounds results to 6 decimal places.
How do you find the distance between two points?
The distance formula is d = sqrt((x2 - x1)^2 + (y2 - y1)^2), derived directly from the Pythagorean theorem applied to the horizontal and vertical differences. The calculator computes this alongside the midpoint every time you enter coordinates.
What are real-world uses for the midpoint?
Common uses include finding the center point between two GPS coordinates, splitting a line segment in architectural or graphic design, placing a label at the center of a chart series, and bisecting segments in geometry proofs. Any situation where you need the exact halfway point between two locations or values applies.
How does the 3D midpoint work?
In 3D mode you supply a z-coordinate for each point, and the midpoint gains a z component: ((x1 + x2) / 2, (y1 + y2) / 2, (z1 + z2) / 2). The distance formula extends to sqrt(dx^2 + dy^2 + dz^2). Enable the 3D toggle to enter z1 and z2.
Is the midpoint the same as the average of two points?
Yes. The midpoint is the coordinate-wise arithmetic mean of the two endpoints. Each coordinate follows the simple (a + b) / 2 average, which is why the midpoint lies exactly halfway along the segment in every direction.