In Algebra 1, why is Inverse Variation, categorized as a non-linear function?

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As far as I've learnt, non-linear functions have to be of a degree greater than 1 (i.e, x^2, x^3, etc). However, an inverse variation problem, usually is in the form: y = k/x, where k is our constant. A function, in this form, still gives us a graph like the one demonstrated, even with a degree of 1.

I know this is a pretty basic question, but I don't really understand why this happens.

Thank you for any help.

AB6