Is electric current determined by voltage or current determines voltage for ohmic conductors ?
For a conductor to be ohmic conductor, the only requirement is that the conductor has to follow ohms law.
ie., V = IR
In Ohms law , I is proportional to V.
We usually say in the law that current is proportional to the voltage applied, and not voltage proportional to the current, because actually it is the voltage that determines the rise or fall of current. In every or most of the cases we will be having a Voltage source and hence the voltage determines the increment and decrement of current. But this is not always true if the circuit is connected to some Current source, it can produce voltage as well.
So we will have to consider to what the circuit is connected.
Dont worry, we will be dealing with Voltage source in most cases, so its like the voltage that drives the current and determines it.
I hope this clears your doubts somehow.
Hope this helps :)