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
The straight line through the points $(2, k)$ and $(5, 13)$ has gradient 4.

Work out the value of $k$ .
Level 5 · 3 marksTry it
2
Show that the points $A(-2, 1)$ , $B(1, 7)$ and $C(3, 11)$ lie on the same straight line.
Level 5 · 3 marksTry it