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4024/13 May/Jun 2026, Question 19: Perpendicular Lines

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Line L goes through P(1, 7) and Q(3, −1). Line N is perpendicular to L through P. Find N's equation as y = mx + c.

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Solution · 4 marks

  1. 1Gradient L = (−1 − 7)/(3 − 1) = −4
  2. 2Gradient N = −1/(−4) = 1/4
  3. 37 = 1/4 × 1 + c, so c = 27/4
  4. 4y = 1/4 x + 27/4

Answery = 1/4 x + 27/4

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Also searched as: 4024/13/M/J/26 · 4024_s26_qp_13 · 4024 s26 13 · question 19.
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