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 the straight line that is parallel to $y = -3x + 2$ and passes through the point $(0, -5)$
Level 3 · 2 marksTry it
2
Line $L$ has equation $y = -\tfrac{1}{2}x + 3$

(a) Find the equation of the line perpendicular to $L$ that passes through the point $(2, 7)$ . (3 marks)

(b) Does the point $(10, 23)$ lie on the line you found in part (a)? Show how you decide. (1 mark)
Level 3 · 4 marksTry it