4MA1/1HR Jun 2019, Question 15: Perpendicular Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Line L₁ has equation 2y = 6x − 5. Find an equation for the perpendicular line L₂ through (9, −1), giving it as ay + bx = c.
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Solution · 4 marks
- 12y = 6x − 5
- 2Gradient of L1 = 6 ÷ 2 = 3
- 3Gradient of L2 = −1/3 (since m1 × m2 = −1)
- 4L2 passes through (9, −1)
- 5y − (−1) = (−1/3)(x − 9)
- 6y + 1 = (−1/3)x + 3
- 7Multiply through by 3: 3y + 3 = −x + 9
- 83y + x = 6
Answer3y + x = 6
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