Math calculator

Midpoint Calculator

Midpoint and distance between two points with the formula and steps.

Quick answer

How do you find the midpoint of two points?

Average the x-values and average the y-values. For (2, 4) and (8, 10): x = (2 + 8) ÷ 2 = 5 and y = (4 + 10) ÷ 2 = 7, so the midpoint is (5, 7).

M = ((x₁ + x₂) ÷ 2, (y₁ + y₂) ÷ 2) • Distance = √((x₂ − x₁)² + (y₂ − y₁)²)

Midpoint Calculator

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Answer
Midpoint = (5, 7) • Distance 8.4853
  1. x = (x₁ + x₂) ÷ 2 = (2 + 8) ÷ 2 = 5
  2. y = (y₁ + y₂) ÷ 2 = (4 + 10) ÷ 2 = 7
  3. Distance = √((x₂ − x₁)² + (y₂ − y₁)²) = 8.4853

Find the midpoint between two points (x₁, y₁) and (x₂, y₂), plus the distance between them, with steps.

About this Midpoint Calculator

The Midpoint Calculator finds the point exactly halfway between two coordinates on a graph using the midpoint formula. It also gives the distance between the points and shows each step for geometry and algebra homework.

What you'll need

  • • x₁ and y₁ of the first point
  • • x₂ and y₂ of the second point

How it works

  1. 1. Enter the first point.
  2. 2. Enter the second point.
  3. 3. Read the midpoint.
  4. 4. See the distance.
  5. 5. Follow the formula steps.

Worked example

Midpoint of (−3, 5) and (7, −1) = (2, 2). Distance = √(10² + 6²) ≈ 11.66.

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Midpoint Calculator FAQ

What is the Midpoint Calculator?

The Midpoint Calculator is a free online tool that helps you midpoint and distance between two points with the formula and steps.

How do I use the Midpoint Calculator?

Open the Midpoint Calculator, enter the requested values, and review the instant estimate on the page.

Is the Midpoint Calculator free?

Yes. The Midpoint Calculator is free to use on Fast Online Calculator and does not require an account.

Can the midpoint have decimals?

Yes. (1, 2) and (4, 7) have midpoint (2.5, 4.5).

How do I find an endpoint from the midpoint?

Double the midpoint and subtract the known endpoint: x₂ = 2Mx − x₁, y₂ = 2My − y₁.

Does negative coordinates work?

Yes — just enter the negative sign.

Midpoint vs distance?

The midpoint is a point halfway between; the distance is how far apart the points are.