Midpoint Calculator
Find the midpoint between two points in the Cartesian plane.
About Midpoint Calculator
The midpoint of two points is the average of their coordinates: M = ((x₁+x₂)/2, (y₁+y₂)/2).
Formula
Midpoint Formula
M = ((x₁+x₂)/2, (y₁+y₂)/2)
- x₁,y₁
- First point
- x₂,y₂
- Second point
Worked example
With the default values below, Midpoint Calculator returns Midpoint X of 5.0000. Change any input above and every figure here is recalculated in your browser.
Inputs used
- x₁
- 2
- y₁
- 3
- x₂
- 8
- y₂
- 7
Results
- Midpoint X
- 5.0000
- Midpoint Y
- 5.0000
Step by step
- 1Midpoint x= 5
- 2Midpoint y= 5
Assumptions and limits
- The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
Is the midpoint always between the two points?
Yes — it divides the segment in a 1:1 ratio and always lies on the line segment connecting them.
Can I find a point that divides a segment in a different ratio?
Yes — use the section formula: P = ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n)) for ratio m:n.