Midpoint Calculator
Midpoint Calculator works out Distance and Euclidean distance from x₁, y₁ and x₂. The default figures on this page give distance of 5.000000; change any entry and the result, the working and the sources update together.
Your figures
Updates as you typeHow this is worked out
6 steps
- Δx = 3 − 0 = 3; Δy = 4 − 0 = 4
- d = √(Δx² + Δy²)
- d² = (3)² + (4)² = 25
- d = √25 = 5
- Midpoint = (1.5, 2)
- Slope of the segment = Δy / Δx = 4 / 3 = 1.3333333333
Its 4 worked examples are re-run on every release, last on 15 September 2026. What changed
What the Midpoint Calculator calculates
Computes the distance and midpoint between two points in the Cartesian plane or in 3D space, using the Euclidean, Manhattan, Chebyshev or Minkowski metric.
How to use this Midpoint Calculator
Enter x₁, y₁, x₂ and y₂. Distance updates as you type. Change one figure at a time to see what drives the result.
How the result is worked out
Open “How this is worked out” beside the result for the step-by-step calculation behind Distance, Euclidean distance and Manhattan distance.
The method follows Euclid, Elements, Book I, Proposition 47 (Pythagorean theorem) — basis of the distance formula, NIST Dictionary of Algorithms and Data Structures — Manhattan distance, Chebyshev distance and Weisstein, Eric W. "Distance." MathWorld — Minkowski / L^p metric.
What you can compare
Change one input at a time to see how it affects Distance, Euclidean distance and Manhattan distance. The inputs you can vary are x₁, y₁, x₂ and y₂.
Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.
See something wrong? Report a problem with this calculator
Frequently asked questions
What information do I need for the Midpoint Calculator?
You need x₁, y₁, x₂ and y₂. The page opens with default figures that give distance of 5.000000, so you can see the scale before entering your own.
What does this Midpoint Calculator show?
It shows Distance, Euclidean distance, Manhattan distance, Chebyshev distance, Minkowski distance, Distance squared, Δx (run) and Δy (rise), with the working and any warnings for your entries.
Can I check how the Midpoint Calculator result was calculated?
Yes. The “How this is worked out” section shows the calculation steps, and the sources section identifies the references used for the method.