Name one state that borders Mexico.

Texas is a state that borders Mexico, making it a correct choice for this question. It shares a long international border with Mexico that stretches approximately 1,254 miles, which is the longest of any U.S. state. This border includes several significant cities, such as El Paso on the Texas side and Ciudad Juárez on the Mexican side, highlighting the economic and cultural exchanges that occur between the two countries.

Arizona is also a state that borders Mexico, contributing to the understanding that there is more than one correct answer regarding states that share a border with Mexico. New York and Alaska, however, do not share a border with Mexico; New York is located in the northeastern U.S. and Alaska is situated at the northwestern corner of North America, separated from the U.S.-Mexico border by several states. Thus, while Texas is indeed a border state, it's important to recognize that Arizona also fits this criteria.