The address to use for mailing your state tax payment should be shown on the voucher that is printed with your return. The voucher is used to send in your payment and it gives you instructions for what information to include on your check, how much to pay, and where to mail the payment.
If you do not find the voucher with your printed information, take a look at the bottom of your main state tax form. Usually the addresses for the state returns are shown there as well.