Math

Midpoint Calculator

Midpoint between two coordinates.

Enter your values

Enter the x₁ you are working with.

Enter the y₁ you are working with.

Enter the x₂ you are working with.

Enter the y₂ you are working with.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Midpoint
(6, -1)
Distance between points
11.31371
Slope
-1
Δx
8
Δy
-8

Quick answer

The midpoint averages the x coordinates and the y coordinates of the two endpoints.

M = ((x₁+x₂)/2, (y₁+y₂)/2)

At a glance

What it doesMidpoint between two coordinates.
CategoryMath
Inputs neededx₁, y₁, x₂, y₂
Main outputMidpoint
FormulaM = ((x₁+x₂)/2, (y₁+y₂)/2)
CostFree — no sign-up, no download

How to use the Midpoint Calculator

  1. 1Enter the first point's coordinates.
  2. 2Enter the second point's coordinates.
  3. 3Read the midpoint, distance and slope.

Inputs explained

x₁
Enter the x₁ you are working with.
y₁
Enter the y₁ you are working with.
x₂
Enter the x₂ you are working with.
y₂
Enter the y₂ you are working with.

Worked example

Using the values the calculator loads with:

Inputs

  • x₁2
  • y₁3
  • x₂10
  • y₂-5

Results

  • Midpoint(6, -1)
  • Distance between points11.31371
  • Slope-1
  • Δx8
  • Δy-8

Frequently asked questions

Does it work in 3D?

The same averaging applies to a z coordinate; this tool covers 2D.

Is the midpoint on the line?

Yes, it always lies on the segment joining the two points.

What do I need to enter into the Midpoint Calculator?

Just 4 values: x₁, y₁, x₂, y₂. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Midpoint Calculator work out the answer?

The midpoint averages the x coordinates and the y coordinates of the two endpoints. It applies the formula M = ((x₁+x₂)/2, (y₁+y₂)/2) and shows the working so you can check each step by hand.

Is the Midpoint Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.