how do disassemble this old faucet? The faucet supply line leak needs to be replaced. please check the pics.
To dismount the faucet, normally that partly rusted bit on the center with the drain rod in it would be turned counter-clockwise until it's loose enough to fold and slide off without unthreading the whole way (which is what the hinge is about, normally.)
The black bits on either side of the screw are possibly indicating some other release action, such as squeezing them inwards towards the screw.
There are also specialist wrenches that can reach into a hole and unthread the supply lines in place, but dismounting may be easier and should not take any special tools.
You'll have to disconnect the lower end of the drain rod if dismounting the faucet, of course.
To start disassembling (rather than dismounting) such a faucet, you pry off the white parts and look for screws/nuts, but I don't think that's what you are actually trying to do.