If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
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Suppose the two variables are denoted by X and Y. If Y is a constant multiple of X, that is Y = c*X, then the variation is direct. If the value of X*Y is a constant, that is Y = c/X, then the variation in inverse.
The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.
The equation is xy = 22.5
A hyperbola.
Direct variation is not a special case.