Lesson: Linear Relations: ax+by=c Mathematics

In this lesson, we will learn how to identify and graph linear relations between two variables given the relation in the form ax+by=c and how to write the ordered pairs that satisfy the given equation.

Lesson Plan

Students will be able to

  • form ordered pairs for a linear relationship in the form 𝑎𝑥+𝑏𝑦=𝑐,
  • complete a table of values for a linear relationship in the form 𝑎𝑥+𝑏𝑦=𝑐,
  • find the value of a constant in a relation in the form 𝑎𝑥+𝑏𝑦=𝑐 given an ordered pair that satisfies the relation,
  • graph relations in the form 𝑎𝑥+𝑏𝑦=𝑐 when 𝑎=0,
  • graph relations in the form 𝑎𝑥+𝑏𝑦=𝑐 when 𝑏=0,
  • graph relations in the form 𝑎𝑥+𝑏𝑦=𝑐 when 𝑎≠0 and 𝑏≠0.

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