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.

- 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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