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Parallel and Perpendicular Lines

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Question 39

Here are the equations of five straight lines.

Line A: $y + 3 x = 4$ Line B: $2 y = x + 1$ Line C: $y + k x = 3$ Line D: $y = 4 x - 2$ Line E: $2 y = 2 x - 1$

Two of these lines are perpendicular. Find, in terms of $k$ , the gradient of Line C and hence find the value of $k\,$ for which Line B and Line C are perpendicular.

[3]

Markscheme

Parallel and Perpendicular Lines Questions

GCSE
Maths
Parallel and Perpendicular Lines

204 exam-style questions on OCR GCSE Maths Parallel and Perpendicular Lines. Each one has a worked solution and a mark scheme showing where the marks go.

Parallel and Perpendicular Lines

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Parallel and Perpendicular Lines

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Question 39

Here are the equations of five straight lines.

Line A: $y + 3 x = 4$ Line B: $2 y = x + 1$ Line C: $y + k x = 3$ Line D: $y = 4 x - 2$ Line E: $2 y = 2 x - 1$

Two of these lines are perpendicular. Find, in terms of $k$ , the gradient of Line C and hence find the value of $k\,$ for which Line B and Line C are perpendicular.

[3]

Markscheme

Parallel and Perpendicular Lines Questions

GCSE
Maths
Parallel and Perpendicular Lines

204 exam-style questions on OCR GCSE Maths Parallel and Perpendicular Lines. Each one has a worked solution and a mark scheme showing where the marks go.