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Midpoint Formula Calculator

Result

Midpoint x5
Midpoint y7
Distance8.4852813742
Slope1
Perpendicular Bisector Slope-1
↗ Math

Midpoint Formula Calculator — free online calculator.

Formula

M = ((x₁+x₂)/2, (y₁+y₂)/2) · d = √((x₂−x₁)²+(y₂−y₁)²) · slope = (y₂−y₁)/(x₂−x₁) · m_⊥ = −1/m
  • Midpoint Formula Calculator calculates its result from x₁, y₁, x₂, y₂. It uses the formula M = ((x₁+x₂)/2, (y₁+y₂)/2) · d = √((x₂−x₁)²+(y₂−y₁)²) · slope = (y₂−y₁)/(x₂−x₁) · m_⊥ = −1/m. Change any input to recalculate the result instantly.
  • The main inputs are x₁, y₁, x₂, y₂. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Midpoint Formula

Inputs
  • x₁: 2
  • y₁: 4
  • x₂: 8
  • y₂: 10

For (2,4) and (8,10): midpoint (5,7), distance √72 ≈ 8.4853, slope = 1 and perpendicular slope = −1.

Sample result: Calculating…

Frequently asked questions

What does the Midpoint Formula calculate?

Midpoint Formula Calculator — free online calculator.

Which values should I enter?

Enter x₁, y₁, x₂, y₂ using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: M = ((x₁+x₂)/2, (y₁+y₂)/2) · d = √((x₂−x₁)²+(y₂−y₁)²) · slope = (y₂−y₁)/(x₂−x₁) · m_⊥ = −1/m.

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026