Midpoint Calculator
The midpoint of (0, 0) and (4, 6) is (2, 3). This midpoint calculator finds the point halfway between two points on a 2D coordinate plane. It averages the two x values and averages the two y values, then returns those results as the midpoint coordinates.
Quick answer
The midpoint is the point that sits exactly halfway between two points.
What this tells you
- •The midpoint is the point that sits exactly halfway between two points.
- •You find its x value by averaging the two x values.
- •You find its y value by averaging the two y values.
- •Results are rounded to 4 decimal places.
How to Use
- 1Enter the x and y coordinates of the first point (x1, y1).
- 2Enter the x and y coordinates of the second point (x2, y2).
- 3Click Calculate to get the midpoint between the two points.
How It Works
Formula
M = ((x1 + x2) / 2, (y1 + y2) / 2)The midpoint formula averages each coordinate. Add the two x values and divide by 2 to get the midpoint x value, then add the two y values and divide by 2 to get the midpoint y value. The pair of averages is the point that lies halfway between the two original points.
Calculation note: values are processed in the order shown above, using the current input units.
Worked Examples
Midpoint of (0, 0) and (4, 6)
Average the x values: (0 + 4) / 2 = 2. Average the y values: (0 + 6) / 2 = 3. The midpoint is (2, 3).
Midpoint of (2, 3) and (8, 7)
Average the x values: (2 + 8) / 2 = 5. Average the y values: (3 + 7) / 2 = 5. The midpoint is (5, 5).
Example Midpoints
Common point pairs and the midpoint between them.
| Point 1 | Point 2 | Midpoint |
|---|---|---|
| (0, 0) | (4, 6) | (2, 3) |
| (2, 3) | (8, 7) | (5, 5) |
| (-2, -4) | (2, 4) | (0, 0) |
| (1, 1) | (5, 9) | (3, 5) |
Common mistakes
- Subtracting the coordinates instead of averaging them. The midpoint formula adds the values and divides by 2, so use (x1 + x2) / 2, not x2 - x1.
- Mixing the distance formula with the midpoint formula. The midpoint averages the coordinates, while the distance formula squares the differences, so they give different answers.
- Sign errors with negative coordinates. When a coordinate is negative, adding it lowers the sum, so (-2 + 2) / 2 = 0, not 2.