N.M. Stat. § 66-7-328
Vehicle approaching or entering intersection.
A. The driver of a vehicle approaching an intersection shall yield the right-of-way to
a vehicle which has entered the intersection from a different highway.
B. When two vehicles enter an intersection from different highways at approximately
the same time the driver of the vehicle on the left shall yield the right-of-way to the
vehicle on the right.
C. The right-of-way rules declared in Subsections A and B are modified at through
highways and otherwise as hereinafter stated in Sections 66-7-328 through 66-7-332
NMSA 1978.