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Any 4 points in the Cartesian plane determine a unique equation that is of degree at most three (i.e., a "cubic" equation). It is, of course, possible that the 4 points actually lie on a degree two ("quadratic"), a degree one ("linear"), or a degree zero ("constant") equation. However, if the 4 points do not lie on a constant, linear, or quadratic curve, then they will like on a unique cubic curve.

In general, N points will determine a unique curve of degree at most (N-1).

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Q: Will any 4 points on a graph produce a Cubic equation?
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