GCSE · Straight-line graphs

Parallel and perpendicular linesExam-style questions

Why parallel lines share a gradient (and nothing else), why perpendicular gradients multiply to −1 (the negative reciprocal), and how to build a line through a given point with either condition.

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18 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
Write down the equation of a line parallel to $y = 3x + 2$ that passes through $(0, -4)$ .
Level 1 · 1 markTry it
2
Which of these lines is parallel to $y = 2x - 5$ ? $\quad$ A: $y = 5x - 2 \qquad$ B: $y = 2x + 7 \qquad$ C: $y = -2x - 5$
Level 1 · 1 markTry it
3
Line L has equation $y = 5x + 1$ . Line M is parallel to L. Write down the gradient of M.
Level 1 · 1 markTry it
4
A line is parallel to $y = -x + 6$ and passes through $(0, 2)$ . Write down its equation.
Level 1 · 1 markTry it
5
Are the lines $y = 4x + 3$ and $2y = 8x - 1$ parallel? Explain your answer.
Level 2 · 2 marksTry it

13 more questions on parallel and perpendicular lines

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