4024/12 May/Jun 2025, Question 17: Perpendicular Lines
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 5 marks
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The question, in short
Line L has equation 5y + 3x = 10. Rearrange it for y, then find the equation of line P, perpendicular to L and passing through (6, 7).
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Part (a) · 2 marks
Rearrange 5y + 3x = 10 so that y is the subject.
- 15y = 10 − 3x
- 2y = 2 − (3/5)x
Answer2 − (3/5)x
Part (b) · 3 marks
Line P is perpendicular to L and goes through (6, 7). Find the equation of P.
- 1Gradient of L = −3/5, so gradient of P = 5/3
- 27 = (5/3) × 6 + c, so 7 = 10 + c and c = −3
- 3y = (5/3)x − 3
Answery = (5/3)x − 3
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Also searched as: 4024/12/M/J/25 · 4024_s25_qp_12 · 4024 s25 12 · question 17.
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