Quick electricity question?

Question

What does the relationship between voltage and current represent for a given resistor?

Answer 1

The relationship is Ohm's law, where
V=I*R
This is a linear relationship and first order. So as the voltage increases, which is the potential to do work, more current flows through the resistor at a rate of
V/R

Since Power is V*I, for a resistor the relationship can be expressed in terms of either V or I and R as follows:
Power=V^2/R
or
Power = I^2*R

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Answer 2

V = IR (ohm's law)

So voltage (V) is directly proportional to current (I). The slope of the graph of V vs. I is the resistance (R).