Must the $x$ and $y$ axes have the same units? (Coordinate Geomtry)

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I was thinking of this for quite a time now, but never have seemed to get a direct answer. If I have a system of coordinate axes, namely $x$ and $y$. Must the units on the $x$-axis be the same length as the units on the $y$-axis? What exactly changes? Is this some unique relation between the axes? I've never been properly introduced to this yet. And when the two axes are measured in two different units entirely, when graphing the sine function, for example (the $y$-axis is measured in degrees while the $x$-axis is measured in real units). Could someone please guide me please? Thank you in advance.

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If x,y scales are equal a circle gives the appearance of the circle. If scaling is different in x,y axes a circle looks like an ellipse.

Computed physical quantities on the basis of a relation, formula do not change. But what you see in scaled coordinates plots is different because then you tend to ignore the unequal scalings and still see with equal scalings basis.