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If I understand correctly your question, the answer is definitely no.
Think about the typical physical representation of the concept of "rate of change": the velocity is the rate of change of position, right? And there's no difficulty in imagining a non-constant velocity, as when you accelerate or decelerate..
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What is the relationship between unit rates slopes and constant rate of change?
Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
A number that is fixed and does not change in value?
a constant ex: Pi. it will always be 3.14159... it will never change in value.
What is a value that does not change?
A value that does not change is a constant.
What is the constant rate of change in y with respect to the constant change in x?
A linear relationship.
What is the rate of change in a fraction?
A fraction is a numerical constant. Being a fraction does not alter that. And, as a constant, its rate of change is precisely zero.
