Hi all, I am moving my washer and want to run PEX for supply. The washer will be about 15 feet from a main supply line, which is 3/4 inch CPVC. I was going to use 1/2 inch PEX for the washer....is this reasonable?

Also I have never attempted to tie into a hot water line, I will turn off valve leading to hot water tank, but there is no valve on the line coming out of the tank. Is this a problem?

Appreciate any help