Distance & Midpoint Calculator (Free, with Graph)
Use this free distance and midpoint calculator to find the distance between two points and the midpoint of the segment that joins them. Enter the coordinates and you’ll get both results, a graph, and the full step-by-step working.
How to use the calculator
- Enter the coordinates of the two points, (x₁, y₁) and (x₂, y₂).
- Press Calculate.
- Read the distance, the midpoint, and see the segment graphed.
The formulas
Distance: d = √((x₂ − x₁)² + (y₂ − y₁)²) — the Pythagorean theorem applied to the coordinate plane. Midpoint: ((x₁ + x₂)/2, (y₁ + y₂)/2) — the average of the coordinates.
Frequently asked questions
What is the distance formula?
d = √((x₂ − x₁)² + (y₂ − y₁)²). It comes straight from the Pythagorean theorem, with Δx and Δy as the legs.
How do you find the midpoint?
Average the x-coordinates and average the y-coordinates: ((x₁ + x₂)/2, (y₁ + y₂)/2).
Does it show the work?
Yes — it substitutes your numbers into both formulas and simplifies, and it graphs the two points, the segment, and the midpoint.
Read the full lesson: learn the method step by step.
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