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The relationship between X and Y is linear only if it is of a form:

Y=mX+b, or Y=(m/X)+b

If they are related in other forms, such as:

Y=X2, or

Y=nX5+mX3+b, or

Y= SQRT(X), or

Y= COS (X),

or many other relationships, it is not linear.

* * * * *

Nearly correct.

Y=(m/X)+b is not a linear relationship but a [translated] inverse relationship. The curve of the graph is a hyperbola, not a straight line.

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Q: Is the relationship between x and y always linear?
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