N.M. Stat. § 21-13-8.1
The community college board of any community college organized pursuant to the Community College Act may, by adoption of a resolution to that effect, establish a governing board composed of five or seven members elected from single-member districts for staggered terms. The single-member districts shall be compact and contiguous and composed of populations as equal as practicable. Members shall be required to reside in the districts from which elected. Any member removing his residence from the district from which he was elected shall be deemed to have resigned his position and the vacancy created by such resignation shall be filled in the manner provided by law for the filling of vacancies on the board of a community college district.
NMS § 21-13-8.1