Gradient and intercept (y = mx + c)
Learn Gradient and intercept (y = mx + c) for Years 9–11 pupils (ages 13–16). Free practice questions, lessons and worked examples — aligned to the UK National Curriculum.
What you'll learn
- 1
In y = mx + c, m is the gradient (steepness) and c is where the line crosses the y-axis.
- 2
Gradient = change in y ÷ change in x. Rising 6 across 2 gives a gradient of 3.
- 3
In y = 4x − 3, what is the gradient?
- 4
Rearrange first. In 2y = 6x + 4 the gradient is not 6 — divide through by 2 to get y = 3x + 2, so the gradient is 3.
- 5
A line passes through (0, 5) with gradient −2. So c = 5 and m = −2, giving y = −2x + 5.
- 6
What is the gradient of a line parallel to y = 3x + 7?
- 7
What gradient is perpendicular to a line of gradient 2?
Practise Gradient and intercept (y = mx + c) with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 13–16. Aligned to the UK National Curriculum.