Algebra › Section C · Graphs and functions › Topic C.2

Slope of a line

Some lines climb gently, some shoot up steeply, some lie flat. Slope is the one number that measures all of that — and outside mathematics it becomes speed, hourly rates and growth, which is why it deserves a topic of its own.

In this topic

  • Steepness needs a number
  • Rise over run
  • Reading slope from a graph
  • Sign and steepness
  • Horizontal and vertical lines
  • Worked example: slope from two points
  • Slope as a rate of change
  • Slope-intercept form
  • Graphing from slope and intercept
  • Worked example: a gym membership
  • Common mistakes to avoid
  • Key takeaways

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