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Any function of the form f(x) = ax + b, or any relation of the form Ax + By = C.This is the function that forms a line graphed. The slope of line can be taken out as C/A.

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The above answer assumes that a line MUST be a straight line!

Since the graph is a line, the domain must be an interval in the Real numbers. The interval may be finite, or infinite in one or both directions. In order that the graph does not have breaks in it the function must be continuous. Any such function will do.

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Q: What is a function that forms a line graphed?
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