N.M. Stat. § 58-23-8
Board; quorum.
A majority of the members of the board then serving shall constitute a quorum for
the transaction of business. The affirmative vote of at least a majority of a quorum
present shall be necessary for any action to be taken by the authority. No vacancy in
the membership of the council shall impair the right of a quorum to exercise all rights
and perform all duties of the loan program.