Algebra⏱ 3 min read

Midpoint Formula

M = ((x₁+x₂)/2, (y₁+y₂)/2)

📖 What is the Midpoint Formula?

The midpoint formula finds the exact centre point between two coordinates on a plane. It simply averages the x-coordinates and the y-coordinates separately. The result is the point that lies exactly halfway between the two given points.

M = ( (x₁+x₂)/2 , (y₁+y₂)/2 )

🔤 What Each Variable Means

M
MidpointThe coordinate pair (x, y) exactly halfway between the two points
x₁, y₁
First pointCoordinates of the starting point
x₂, y₂
Second pointCoordinates of the ending point

📝 Step-by-Step Example

Find the midpoint between (2, 4) and (8, 10).

1
Label coordinatesx₁=2, y₁=4, x₂=8, y₂=10
2
Average the x-valuesx = (2 + 8) / 2 = 10 / 2 = 5
3
Average the y-valuesy = (4 + 10) / 2 = 14 / 2 = 7
Answer: M = (5, 7)

The midpoint is at coordinates (5, 7).

🧮 Interactive Calculator

Result will appear here
Advertisement