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
Work out the gradient of the straight line passing through the points $(-2, 7)$ and $(4, -5)$
Level 4 · 2 marksTry it
2
The line $L$ has equation $y = 3x + 2$

(a) Show that the point $(5, 17)$ lies on $L$ .

(b) Find the coordinates of the point where $L$ crosses the $x$ -axis.
Level 4 · 3 marksTry it
3
The straight line $y = mx + c$ passes through the points $(0, -2)$ and $(4, 6)$ .

Find the values of $m$ and $c$ .
Level 4 · 3 marksTry it