Parallel and Perpendicular Lines worksheet
5 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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2 marks
Here are the equations of two straight lines.
\(y = 2x + 6\)
\(y = -3x + 4\)
Are the two lines parallel, perpendicular or neither?
You must show your working.
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3 marks
The line \(L\) has equation \(y = 4x + 1\)
Find the equation of the line perpendicular to \(L\) that passes through \((-4, -3)\).
Give your answer in the form \(y = mx + c\).
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2 marks
The line \(y = 6x - 8\) is perpendicular to the line \(y = ax + 9\).
Work out the value of \(a\).
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4 marks
\(A\) is the point \((-1, -11)\) and \(B\) is the point \((7, 13)\).
(a)Write down the coordinates of the midpoint of \(AB\).
(b)Find an equation of the perpendicular bisector of \(AB\).
Give your answer in the form \(y = mx + c\).
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2 marks
Two straight lines have these equations.
\(y = -4x + 5\)
\(y = 2x + 4\)
Are these two lines parallel, perpendicular or neither?
You must show your working.
Answers
- Neither
- \(y = -\frac{1}{4}x - 4\)
- \(-\frac{1}{ 6 }\)
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(a) \((3, 1)\)
(b) \(y = -\frac{1}{3}x + 2\) - Neither