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

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