Every Line is a Graph of a Linear Equation

Challenge the class to determine the equation of a line. The 21st part in a 33-part series begins with a proof that every line is a graph of a linear equation. Pupils use that information to find the slope-intercept form of the equation of linear graphs by determining the slope and the y-intercept. Class members then convert the equation into standard form.

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CCSS: Designed
Instructional Ideas

  • Create a matching activity with equations written in slope-intercept form, standard form and their corresponding graphs
  • Lead a discussion on how to come up with equations 
Classroom Considerations

  • Opening proof is optional
  • The lesson does not really match the standard because the standard is about proportional relationships; a better match may be 8.F.B.4

  • The answer key shows the steps used to transform the equations from slope-intercept to standard form
  • Highlights the mathematical practice location in the lesson plan

  • The key to exercise three has a line after the solution that is not needed
Common Core