Midpoint Calculator

The point exactly halfway between two others.

Written and maintained by Mohit PatelLast checked August 4, 2026How we build these

x₁

y₁

x₂

y₂

Midpoint

(2.5, 5)

Each coordinate is the average of the two

Slope (m)2

Rise6

Run3

Distance6.708204

Midpoint(2.5, 5)

Angle from horizontal63.4349°

Equationy = 2x + 0

The midpoint averages each coordinate independently: x is (1 + 4) ÷ 2 and y is (2 + 8) ÷ 2. It sits exactly 3.354102 from each endpoint, half the 6.708204 between them.

How the Midpoint Calculator works

The midpoint averages each coordinate independently: the x of the midpoint is the average of the two x values, and likewise for y. It sits exactly half the total distance from each endpoint.

Also known as: midpoint formula · midpoint between two points · find the midpoint of a line · middle point calculator

Where to go next

The Midpoint question rarely arrives on its own. These are the ones that usually come with it:

Distance Formula Calculator — Distance between two points, which is Pythagoras in disguise.
Slope Calculator — Slope, intercept and the line's equation from two points.
Average Calculator — Mean, median, mode, range, and standard deviation.
Percentage Calculator — Every common percentage question in one place.

Sources

NIST Digital Library of Mathematical Functions

Frequently asked questions

What is the midpoint formula?

((x₁+x₂)/2, (y₁+y₂)/2). Each coordinate is averaged on its own.

Why does averaging the coordinates work?

Because moving from one point to the other changes x and y at a constant rate. Halfway through the journey, each has covered half its total change.

Is the midpoint the same distance from both points?

Yes, by definition. It is half the total separation from each end.

Can I find a point one third of the way along?

Yes, with the same idea: take the first point plus one third of each difference. The midpoint is the special case where the fraction is a half.

Put this calculator on your own site

Free to use, on any site, commercial or not. Paste this where you want it to appear. It is a plain iframe, so it works in WordPress, Squarespace, Wix, Webflow, Ghost and anything else that accepts HTML.

The one-line version

<iframe src="https://www.thecalclibrary.com/embed/midpoint-calculator" width="100%" height="640" style="border:1px solid #e2e8f0;border-radius:12px" loading="lazy" title="Midpoint Calculator"></iframe>
<p style="font:13px/1.5 system-ui,sans-serif;margin:6px 0 0;color:#64748b">Powered by <a href="https://www.thecalclibrary.com/midpoint-calculator" style="color:#64748b">Midpoint Calculator</a> from The Calc Library</p>

The only condition is that the credit line below the frame stays in place. That one line is what pays for the tool being free — it is how anyone else finds it.