0580/23 Oct/Nov 2025, Question 22: Perpendicular Lines
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 3 marks
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The question, in short
Find the equation, in y = mx + c form, of the line perpendicular to y = −1/2 x + 7 passing through (3, 5).
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Solution · 3 marks
- 1Gradient of L = −1/2, so perpendicular gradient = −1 ÷ (−1/2) = 2
- 25 = 2 × 3 + c, so c = −1
- 3y = 2x − 1
Answer2x − 1
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