N.M. Stat. § 2-13-1
Creation of committee; members; appointment; terms.
There is created a permanent joint interim committee of the legislature to be called
the "legislative health and human services committee". The committee shall be
composed of eight members. The legislative council shall appoint four members from
the house of representatives and four members from the senate. At the time of making
the appointment, the legislative council shall designate the chairman and vice chairman
of the committee. Members shall be appointed so as to give the two major political
parties in each house the same proportionate representation on the committee as
prevails in each house; provided, in no event shall either of such parties have less than
one member from each house on the committee. Members may be removed from the
committee by the legislative council, at the request of the committee chairman, for
nonattendance according to council policy. Vacancies on the committee, however
caused, may be filled by the legislative council, or the council may reduce the size of the
committee by not making replacement appointments and in such case need not readjust
party representation. No action shall be taken by the committee if a majority of the total
membership from either house on the committee rejects such action.