ECZ 2019 · GCE Paper 1 — Coordinate Geometry
The equation of line A is 3x + 2y = 10. Line B is parallel to line A and passes through the point (4, 6). Find the equation of line B.
- A. y = −³⁄₂x + 12
- B. y = ³⁄₂x + 12
- C. y = −³⁄₂x + 5
- D. y = −²⁄₃x + 12
Verified working — step 1
Rearranging 3x + 2y = 10 gives y = −³⁄₂x + 5, so the gradient is −³⁄₂. Line B shares it. Through (4, 6): 6 = −³⁄₂(4) + c = −6 + c, so c = 12 and y = …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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