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Line graphs may represent equations, if they are defined for all values of a variable.
Only one line can pass through two points, but this line can have different equations that could represent it. These are called dependent equations (because they represent the same line). * * * * * That is true for the Euclidean plane. But on surfaces that are not flat, there can be infinitely many lines through any pair of points.
Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.Non-linear equations represent shapes other than straight lines.
None of these could represent anything!
The graphs of the two equations have only one intersection point.