Midpoint Calculator

Calculate the midpoint between two points in a coordinate plane.

Calculator

Enter Point Coordinates

First Point

Second Point

Table of Contents

1 What is a Midpoint?
2 Midpoint Formula
3 How to Calculate Midpoint
4 Practical Examples
Concept

What is a Midpoint?

A midpoint is the point that is exactly halfway between two given points in a coordinate plane. It's the center point of the line segment connecting the two points.

Formula

Midpoint Formula

Midpoint Formula

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points

Steps

How to Calculate Midpoint

  1. 1
    Identify the coordinates of both points
  2. 2
    Add the x-coordinates and divide by 2
  3. 3
    Add the y-coordinates and divide by 2
  4. 4
    Write the result as an ordered pair (x, y)
Examples

Practical Examples

Example 1

Find the midpoint between points (2, 4) and (6, 8)

M = ((2 + 6)/2, (4 + 8)/2)

M = (8/2, 12/2)

M = (4, 6)

Example 2

Find the midpoint between points (-3, 5) and (7, -1)

M = ((-3 + 7)/2, (5 + (-1))/2)

M = (4/2, 4/2)

M = (2, 2)

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