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Year 10 · Functions & Graphs

Midpoint of a line segment

The midpoint is halfway between two points: average the x values and the y values.

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How to do it

  1. Add the two x values and halve.
  2. Add the two y values and halve.

Worked example

What is the midpoint of A(-2, 3) and B(5, -3)?
Average the x values and the y values: ((-2 + 5) ÷ 2, (3 + -3) ÷ 2) = (1.5, 0).
Answer: (1.5, 0)

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Average each coordinate separately.

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