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Linear refers to the graph line. If the line on the graph is a straight line, then the plots/relationship that make up that line are linear. Conversely, if the line is anything other than linear (such as any kind or curve...parabola, hyperbola, etc), then the relationship is said to be non-linear.

For example, if you graph the following sets of (X,Y) coordinates, you will get a straight line that slopes upward to the right: (1,1), (2,2), (3,3), etc. But the following set of (X,Y) coordinates will produce a line that curves: (1,1), (2,3), (3,5).

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