GCSE · Straight-line graphs

Gradient and interceptExam-style questions

Why gradient is rise over run (in that order, signs included), what m and c each control in y = mx + c, and how to test whether a point lies on a line.

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

DifficultyAll Level 1 Level 3 Level 4 Level 5

1
A line has equation $y = 4x - 1$ . Write down
(a) its gradient,
(b) its $y$ -intercept.
Level 1 · 2 marksTry it
2
Work out the gradient of the straight line passing through the points $(1, 2)$ and $(4, 11)$
Level 3 · 2 marksTry it
3
A straight line has equation $y = 5 - 2x$

(a) Write down the gradient of the line.

(b) Write down the coordinates of the point where the line crosses the $y$ -axis.
Level 3 · 2 marksTry it
4
Work out the gradient of the straight line passing through the points $(3, -1)$ and $(7, 7)$
Level 3 · 2 marksTry it
5
A straight line has equation $y = 7 - 4x$

(a) Write down the gradient of the line.

(b) Write down the coordinates of the point where the line crosses the $y$ -axis.
Level 3 · 2 marksTry it

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