ECZ 2025 · O-Level Paper 1 — Coordinate Geometry

Find the length of the straight line joining the points A(−13, 2) and B(−10, −2).

  • A. √7
  • B. 5
  • C. 7
  • D. 25

Verified working — step 1

Use the distance formula, which comes straight from Pythagoras' theorem: AB = √[(x₂ − x₁)² + (y₂ − y₁)²]. The horizontal change is −10 − (−13) = 3 and the vertical change is −2 − 2 = −4, so AB = √(3² + (−4)²) = √(9 + 16) = √25 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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