Intermediate Algebra/Writing Linear Equations

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Linear equations have two variables: x and y.





If one were doing a walkathon and wanted to raise $5 for every mile walked, an equation for the total money raised, y as a function of the number of miles walked, x would be y = 5x. Would donors, however, promise to not only pay $5 per mile but give an additional $30 just for taking part, the equation would be y=5x + 30. Note that this example is limited as negative miles don't make sense, but the line defined by the equation is infinite in either direction.