4024/13 May/Jun 2025, Question 21: Perpendicular Lines
Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
Given line L as 2y = 5x + 3, determine the equation of a line at right angles to L that goes through (1, 4).
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Solution · 4 marks
- 12y = 5x + 3 so y = (5/2)x + 3/2, gradient of L = 5/2
- 2Perpendicular gradient = −1 ÷ 5/2 = −2/5
- 3y = −(2/5)x + c through (1, 4): 4 = −2/5 + c
- 4c = 4 + 2/5 = 22/5
- 5y = −(2/5)x + 22/5 (or 5y + 2x = 22)
Answery = −(2/5)x + 22/5 or 5y + 2x = 22
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Also searched as: 4024/13/M/J/25 · 4024_s25_qp_13 · 4024 s25 13 · question 21.
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