They all show the values for a set of variables for different situations or outcomes.
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They are different ways to represent the answers of an equation
They aren't.
They can be, but not always. Other methods (equations, graphs) may be the best way.
Bar graphs and line graphs do not. Straight line, parabolic, and hyperbolic graphs are graphs of an equation.
Graphs and equations of graphs that have at least one characteristic in common.