4MA1/2H Jan 2020, Question 19: Perpendicular Lines
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 5 marks
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The question, in short
Find a line parallel to y = 7 − 4x, then find a line perpendicular to the line through (−3, 1) and (2, −2) passing through (−6, 4), in the form ax + by + c = 0.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Write down an equation of a line parallel to y = 7 − 4x.
- 1y = −4x + k
Answery = −4x + k
Part (b) · 4 marks
Find an equation of the line perpendicular to L through (−6, 4), giving it as ax + by + c = 0 with integer a, b, c.
- 1m = (−2 − 1) / (2 − (−3)) = −3/5
- 2m_perp = 5/3
- 3y − 4 = (5/3)(x + 6)
- 4y = (5/3)x + 10 + 4
- 5y = (5/3)x + 14
- 6(5/3)x − y + 14 = 0
- 75x − 3y + 42 = 0
Answer5x − 3y + 42 = 0
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