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Gradient & Y-intercept

Maths: Edexcel A Level Pure Maths, topic 3.1.2

Gradient and y-intercept of a Line

A line y = mx + c has gradient m and y-intercept c.

y-intercept

y-intercept

  • The point where a line crosses the y-axis is called the y-intercept.
Gradient

Gradient

  • To calculate the gradient (slope) of a line, use 2 co-ordinates (A and B):
  • gradient = change in y ÷ change in x
  • where change in y = (yA - yB) and change in x = (xA - xB)

Test yourself on Gradient & Y-intercept

  • What is the gradient of the line:
    y = 5x + 2

  • What is the y-intercept of the line:
    y = 5x + 2

  • What is the y-intercept of the line:
    y = -4x - 1

  • What is the gradient of the line:
    y = -4x - 1

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