Midpoint Calculator
Find the midpoint, distance, and slope between two points in 2D or 3D space.
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 the x-coordinates and average the y-coordinates.
How do you find the distance between two points?
Use the distance formula: d = sqrt((x2 - x1)^2 + (y2 - y1)^2). It comes from the Pythagorean theorem applied to the horizontal and vertical differences.
What are real-world uses for the midpoint?
Splitting a segment in half for construction or design, finding the center of a map between two locations, placing a label on a chart, and bisecting line segments in geometry proofs.
How does the 3D midpoint work?
Add a z-coordinate: the 3D midpoint is ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2). Distance becomes sqrt(dx^2 + dy^2 + dz^2). Toggle the 3D option to enter z1 and z2.
Is the midpoint the same as the average of two points?
Yes. The midpoint is the component-wise average of the two endpoints, which is why each coordinate uses the (a + b)/2 formula.