Nothing in this article shall be interpreted to prohibit agreements between public agencies pursuant to the provisions of Chapter 5 (commencing with Section 6500) of Division 7 of Title 1 of the Government Code. When such an agreement creates an agency or entity which is separate from the parties to the agreement and which is responsible for the administration of a housing program authorized by this part, the public agencies party to such agreement shall provide for the appointment of a tenant of such agency or entity to the governing body of the agency or entity. If such agency or entity does not have tenants, then the parties to the agreement shall provide for the appointment of a tenant of the agency or entity to the governing body thereof within one year after the agency or entity first does have tenants. The term of a tenant appointed to the governing body of such an agency or entity shall be two years, but if a tenant appointee ceases to be a tenant of the agency or entity, he shall be disqualified and another tenant of the agency or entity shall be appointed to serve the remainder of the unexpired term. A tenant appointed to the governing body of such an agency or entity shall have all the rights, powers, duties, privileges, and immunities of any other member of such governing body.