Midpoint Calculator
The point exactly halfway between two others.
Work out Midpoint. The point exactly halfway between two others. Says where the rule comes from.
Midpoint
(2.5, 5)
Each coordinate is the average of the two
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
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.
<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>The only condition is that the credit line stays visible. It sits inside the frame, so you do not have to do anything to keep it.
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