ECZ 2017 · O-Level Paper 1 — Coordinate Geometry

The equation of a straight line L is 2y = 4x − 5. Find the equation of the line passing through (−2, 3) and perpendicular to L.

  • A. y = 2x + 7
  • B. y = −½x + 1
  • C. y = −½x + 2
  • D. y = −½x − 1

Verified working — step 1

L is y = 2x − 2.5 (gradient 2), so the perpendicular gradient is −½. Then y − 3 = −½(x + 2) = −½x − 1, giving y = …

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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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