Midpoint Calculator
Find the midpoint between two coordinate points.
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How to use this tool
- Enter x₁, y₁, x₂ and y₂ in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your midpoint x and the full breakdown beneath it.
Find the midpoint M = ((x₁+x₂)/2, (y₁+y₂)/2) between two coordinate points.
Formula
Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
Each coordinate of the midpoint is the arithmetic mean of the corresponding coordinates of the two endpoints.
How it works
The calculator averages the x-coordinates and separately averages the y-coordinates of the two given points to find the exact midpoint of the line segment connecting them. The result is a single point equidistant from both endpoints along the segment.
Worked example
Worked example: midpoint of (2, 4) and (8, 10)
- Inputs: x₁ = 2, y₁ = 4, x₂ = 8, y₂ = 10.
- Midpoint x: (2 + 8) / 2 = 10 / 2 = 5.
- Midpoint y: (4 + 10) / 2 = 14 / 2 = 7.
Midpoint = (5, 7)
Common mistakes to avoid
- Adding coordinates without dividing by 2, returning the sum point instead of the average.
- Mixing up x and y coordinates when entering ordered pairs, especially when points are given in a non-standard order.
- Using the midpoint formula on 3D coordinates without including the z-axis average.
Key terms
- Midpoint
- The point exactly halfway between two endpoints of a line segment.
- Arithmetic mean
- The sum of values divided by their count; used here to average each coordinate pair.
- Line segment
- The finite portion of a line between two defined endpoints.
- Bisect
- To divide into two equal parts; the midpoint bisects the segment connecting the two input points.
Frequently asked questions
- How do you find the midpoint?
- The midpoint M of a line segment with endpoints (x₁,y₁) and (x₂,y₂) is M = ((x₁+x₂)/2, (y₁+y₂)/2).