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Year 10 · Functions & Graphs

Distance between two points

The distance between two points comes from Pythagoras: a right triangle with the x-gap and y-gap as its short sides.

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How to do it

  1. Find the difference in x and in y.
  2. Square both, add, square root.

Worked example

What is the distance between A(0, -3) and B(4, -6)?
Distance = √((x₂ − x₁)² + (y₂ − y₁)²) = √(4² + -3²) = √25 = 5.
Answer: 5

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Square the gaps before adding.

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