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Equation of a Line

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Lesson

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8 minute activity

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Graph of the line y = 2x + 3 with y-intercept at (0,3) and a rise of 4 over a run of 2 labelled to show gradient 2

A straight line is usually written as y=mx+cy = mx + cy=mx+c. In this form, mmm is the gradient and ccc is the y-intercept.

The y-intercept is where the line crosses the y-axis, so it happens when x=0x = 0x=0. A positive gradient rises from left to right, a negative gradient falls, and a horizontal line has gradient 0.

The crossing point is (0,c)(0, c)(0,c). This means you can read a lot from the equation before you even draw the line.

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51 exam-style questions

Practice questions

Question 1

2 marks

The line y=3x+5y = 3x + 5y=3x+5 crosses the y y\,y axis at PPP.
What is the value of y y\,y at PPP?

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What does the first value in a coordinate pair (x,y)(x, y)(x,y) represent?

Equation of a Line Revision Guide

  1. GCSE
  2. /Maths
  3. /Equation of a Line

Revision notes for Edexcel GCSE Maths Equation of a Line. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.

Revision guides

Practise questions

1 of 5

What are the gradient and y-intercept of the line y=5x−3y = 5x - 3y=5x−3?