It is at the western end of Texas , and is along interstate highway 10 . The name comes from El Paso de Norte , meaning The Passageway to the North , which was shortened to El Paso . El Paso is home to the University of Texas at El Paso ( founded in 1914 as The Texas State School of Mines and Metallurgy , and later , Texas Western College ; its present name dates from 1967 ) and the Texas Tech University Health Sciences Center at El Paso .