What is the midpoint?

The midpoint is the point exactly halfway between two given points. It is found by averaging the x-coordinates and averaging the y-coordinates.

How is the distance formula related to Pythagorean theorem?

The distance formula is a direct application of the Pythagorean theorem, treating the horizontal and vertical differences as legs of a right triangle.

What if the line is vertical?

For a vertical line (x₁ = x₂), the slope is undefined. The midpoint formula still works normally.

Midpoint & Distance Calculator

Find the midpoint between two points in 2D. Also calculates the distance between the points.

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Point 1 x

Point 1 y

Point 2 x

Point 2 y

Mid X

5.0000

Distance7.2111

Slope0.6667

View formula & how it works →

Midpoint Formula

Formula

Midpoint = ((x₁ + x₂)/2, (y₁ + y₂)/2)

The midpoint is the point exactly halfway between two given points.

Distance Formula

d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)

Slope

m = (y₂ - y₁) / (x₂ - x₁)

Example Calculation

Find the midpoint between (2, 3) and (8, 7).

01Midpoint x = (2+8)/2 = 5
02Midpoint y = (3+7)/2 = 5
03Midpoint = (5, 5)
04Distance = √(36+16) = √52 ≈ 7.2111
05Slope = 4/6 ≈ 0.6667

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