GCSE · Straight-line graphs

Finding the equation of a lineExam-style questions

How gradient + one point pins down a unique line, why c comes from substituting the point, and why disguised forms like 2y = 6x + 4 must be rearranged before reading anything off.

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15 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
A line has gradient $2$ and passes through $(0, 5)$ . Write down its equation.
Level 1 · 1 markTry it
2
Write down the equation of the line that is parallel to the $x$ -axis and passes through $(3, -2)$ .
Level 1 · 1 markTry it
3
Does the point $(4, 9)$ lie on the line $y = 2x + 1$ ? Show how you decide.
Level 1 · 1 markTry it
4
A line passes through $(0, 1)$ and $(2, 7)$ . Find its equation.
Level 2 · 2 marksTry it
5
Write down the equation of the straight line with gradient 2 that passes through the point $(0, -3)$
Level 3 · 2 marksTry it

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