N.M. Stat. § 66-3-702
Traffic laws apply to persons riding bicycles.
Every person riding a bicycle upon a roadway shall be granted all of the rights and
shall be subject to all of the duties applicable to the driver of a vehicle except in regard
to the:
A. equipment, maintenance and operation of the bicycle pursuant to Sections 66-3-
701 through 66-3-707 NMSA 1978; or
B. operation of the bicycle at an intersection pursuant to Section 66-7-345 NMSA
1978.