Midpoint Calculator
Find the midpoint between two points.
Change the values and press Calculate to work out your own figures.
Enter two points.
Show the working
- M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
How to use it
Enter two points.
Enter coordinates as whole numbers, decimals or fractions (3/4). Show the working gives the formula with your numbers.
Key facts
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
Averages
Each coordinate of the midpoint is the average of the two points' coordinates.
Questions
Midpoint of (1, 3) and (5, 7)?
(3, 5).
Of (−2, 1) and (3, −4)?
(1/2, -3/2).
Formulas
M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2)
Sources
Limitations
- Vectors have two or three components (leave z blank for 2-D).
- Earth distances assume the WGS 84 ellipsoid (sea level).