The secretary of state shall adopt and publish rules to implement Sections 55-9-501 through 55-9-526 N.M. Stat. Ann.. The filing-office rules must be:

(a) consistent with N.M. Stat. Ann. Chapter 55, Article 9; and

(b) adopted and published in accordance with the State Rules Act [Chapter 14, Article 4, NMSA 1978].