N.M. Stat. § 47-1-51
The plane coordinates of a point on the earth's surface, to be used in expressing the position or location of the point in the appropriate zone of this system, shall consist of two distances, expressed in feet and decimals of a foot when using the New Mexico coordinate system of 1927 and expressed in meters and decimals of a meter when using the New Mexico coordinate system of 1983. One of these distances, to be known as the "x-coordinate", shall give the position in an east-and-west direction; the other, to be known as the "y-coordinate", shall give the position in a north-and-south direction. These coordinates shall be made to depend upon and conform to the coordinates, on the New Mexico coordinate system, of the horizontal control stations of the national ocean survey and national geodetic survey within the state, as those coordinates have been determined by the survey. The length of one foot expressed in meters is equal to 1200 divided by 3937 exactly.
NMS § 47-1-51