ECZ 2026 · GCE Paper 1 — Coordinate Geometry

The diagram shows a straight line AB passing through the points A(5, 0) and B(14, 6). C is the point (2, 9). Find the equation of the line perpendicular to AB that passes through the point C.

Diagram for ECZ 2026 · GCE Paper 1
  • A. y = -(32)x + 12
  • B. y = (23)x + 233
  • C. y = -(32)x + 9
  • D. y = -(23)x + 313

Verified working — step 1

Three ingredients: the gradient of AB, its negative reciprocal, and the point C that the new line must pass through.

The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.

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

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