Problem using a voltage divider to input a voltage to a low impedance line

I can't do that because I only have one wire that goes to my "load." Not two.

No you always have two wires to connect to the load otherwise you can't get any current to flow.
Your other "hidden" wire is either the ground or the +ve power supply.
What do you need to do wit this wire to turn it on. If it is supply +ve then the ground is your other control wire.