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variables in an equation were reversed

If the variables in an equation were reversed, what would happen to the graph of the equation?

For example, how would the graph of y = x² relate to the graph of x = y²? When might such a reversal of variables be useful in the real world?

How does x=y relate to y=x? How about 2x = y and 2y=x? What about x^2 + y^2 = 49 versus y^2 + x^2 = 49? What other examples can you think of?

Solution Preview

>If the variables in an equation were reversed, what would happen to the graph of the
>equation?

The graph would be rotated by some number of degrees (possibly zero)
For example, x=y is the same as y=x (zero degree rotation), ...

Solution Summary

This solution is comprised of a detailed explanation to answer what would happen to the graph of the equation.

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