ECZ 2021 · GCE Paper 1 — Coordinate Geometry
The diagram shows two lines l and n that are perpendicular to each other. The equation of the line n is 3x + 2y = 6. The line l passes through the point (5, 4). Find the equation of line l.
- A. 3y = 2x + 2
- B. 2y = 3x − 7
- C. 3y = −2x + 22
- D. y = 2x − 6
Verified working — step 1
Rearranged, n is y = −32x + 3, so its gradient is −32. Perpendicular gradients multiply to −1, so l has gradient 23. Through (5, 4): y − 4 = 23(x − 5), which gives 3y = …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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