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.

Start practising Read the lesson

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
Find the equation of the straight line with gradient $-3$ that passes through the point $(2, 5)$
Level 4 · 3 marksTry it
2
The diagram shows the straight line $L$ .Diagram NOT accurately drawn

The points $(1, 5)$ and $(3, 11)$ lie on $L$ .

Find the equation of $L$ .
Level 4 · 3 marksTry it
3
A straight line has equation $2y = 6x + 4$

Write down the gradient of the line.
Level 4 · 2 marksTry it
4
Find the equation of the straight line with gradient $-2$ that passes through the point $(3, 4)$
Level 4 · 2 marksTry it
5
Find the equation of the straight line passing through the points $(2, 3)$ and $(6, 11)$
Level 4 · 3 marksTry it

1 more question on finding the equation of a line

Free with an account — just an email, no card. The whole bank, every mark scheme and worked solution.

Start free