I will be building a porch for my son's house in Smyrna, Ga. The deck to be covered will be 13' to 14 ft. wide. For the roof, Can I use 2x6 rafters 24 oc for this span. The rafter will be well supported at the deck end (2x6 double beam) and tied into the existing house wall. The pitch will be about 1 inch per ft or slightly less and the roof will be plywood or osb with tarpaper and shingles. There is seldom any snow here. (1 inch at most). Am I ok with this or do I have to go to 2x6 16oc or 2x8 24oc.
Would appreciate advice. I usually overbuild but would like to do this correctly but inexpensively.
Thanks in advance for any help you can give me

Would appreciate advice. I usually overbuild but would like to do this correctly but inexpensively.
Thanks in advance for any help you can give me