Distance & Midpoint Calculator (Two Points)
By Santaji GadepatilinUpdated November 4, 2026
The distance between two points on a graph comes from the Pythagorean theorem, and the midpoint is simply the average of their coordinates. This distance and midpoint calculator takes two points (x₁, y₁) and (x₂, y₂) and returns the straight-line distance, the midpoint and the slope of the line through them.
How to use the distance and midpoint calculator
Enter the coordinates of the two points. The calculator returns the straight-line (Euclidean) distance between them, the midpoint, and the slope of the line joining them. Any of the inputs can be solved for instead — for example, clear y₂ and enter a distance to find where the second point must lie.
Distance and midpoint formulas
d = √((x₂ − x₁)² + (y₂ − y₁)²) · M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2) · m = (y₂ − y₁) ÷ (x₂ − x₁)
Example
Points (1, 2) and (7, 10):
- Δx = 7 − 1 = 6, Δy = 10 − 2 = 8
- Distance = √(6² + 8²) = √100 = 10
- Midpoint = ((1 + 7) ÷ 2, (2 + 10) ÷ 2) = (4, 6)
- Slope = 8 ÷ 6 = 1.3333
Worked distances and midpoints
| Point 1 | Point 2 | Distance | Midpoint | Slope |
|---|---|---|---|---|
| (0, 0) | (3, 4) | 5 | (1.5, 2) | 1.333 |
| (1, 2) | (7, 10) | 10 | (4, 6) | 1.333 |
| (-3, 5) | (4, -2) | 9.899 | (0.5, 1.5) | -1 |
| (2, -1) | (-6, 3) | 8.944 | (-2, 1) | -0.5 |
| (0, 0) | (5, 12) | 13 | (2.5, 6) | 2.4 |
| (-4, -4) | (4, 4) | 11.31 | (0, 0) | 1 |
| (1.5, 2.5) | (4, 8) | 6.042 | (2.75, 5.25) | 2.2 |
Notes
- Distance is always positive and does not depend on which point you call “1”.
- A vertical line (x₁ = x₂) has an undefined slope; the distance and midpoint are still valid.
- For the full equation of the line, use the slope calculator.
Frequently asked questions
What is the distance formula?
d = √((x₂ − x₁)² + (y₂ − y₁)²). It is the Pythagorean theorem applied to the horizontal and vertical differences between the two points.
What is the midpoint formula?
The midpoint is ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2) — the average of the x-coordinates and the average of the y-coordinates.
How do I find a missing endpoint from the midpoint?
Rearrange the midpoint formula — x₂ = 2xₘ − x₁ and y₂ = 2yₘ − y₁. In this calculator, clear x₂ and y₂ and enter the midpoint instead.
How do I find the distance between two points in 3D?
Add the z term — d = √(Δx² + Δy² + Δz²). The vector calculator gives the magnitude of a 3D difference vector directly.