How to judge inverse proportion function

How to judge inverse proportion function

If the product of each set of corresponding values of two variables is a constant which is not equal to 0, then the two variables are said to be in inverse proportion. A function such as y = K / X (k is a constant, K ≠ 0, X ≠ 0) is called an inverse proportion function
The deformation formula is xy = k or y = KX ^ - 1 or y = K1 / X