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MA15-05 Maths Coming soon

Gradient and Y-Intercept via y=mx+c

MA15-05

This lesson is coming soon.

In this lesson

Rearrange a linear equation into y = mx + c form, then correctly read off the gradient and y-intercept, graphically and algebraically.

What it covers

  • Rearranging a linear equation (e.g. ay + bx = c) into y = mx + c form as a mandatory first step
  • Reading off the gradient m and y-intercept c only once the equation is in that form
  • Recognising the special cases y = k (horizontal line, gradient 0) and x = k (vertical line, undefined gradient) without forcing them into the y=mx+c template

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560, Cambridge IGCSE 0580

On the specification

BoardSpecStatement
AQA GCSE 8300A10Identify and interpret gradients and intercepts of linear functions graphically and algebraically
Edexcel GCSE 1MA1A10Identify and interpret gradients and intercepts of linear functions graphically and algebraically
Eduqas GCSE C300FA10Identify and interpret gradients and intercepts of linear functions graphically and algebraically
Eduqas GCSE C300HA10Identify and interpret gradients and intercepts of linear functions graphically and algebraically
Edexcel IGCSE 4MA1F3.3HRecognise that equations of the form y = mx + c are straight line graphs with gradient m and intercept on the y-axis at the point (0, c)
OCR GCSE J5607.02aFind and interpret the gradient and intercept of straight lines, graphically and using y = mx + c .
Cambridge IGCSE 0580C3.5Interpret and obtain the equation of a straight-line graph in the form y = mx + c.
Cambridge IGCSE 0580E3.5Interpret and obtain the equation of a straight-line graph.
For teachers

This GCSE Maths lesson teaches gradient and Y-Intercept via y=mx+c. By the end, students should be able to rearrange a linear equation into y = mx + c form, then correctly read off the gradient and y-intercept, graphically and algebraically. It works through two worked examples and the mistakes examiners report.