South, you will have travelled south.
More accurately, there are two major routes. The quickest is I-40 to Albuquerque, NM (which is a west southwest direction) to I-25 south to El Paso. Or, you can take the scenic route of I-27 south to Stanton, TX then I-20 west southwest to El Paso. Both of which should be noted travel in a generally southerly direction from Amarillo in the Panhandle to El Paso in west Texas.
If you were to have traveled in a straight line between Amarillo and El Paso, you would have traveled southwest at a heading of approximately 230°
You would travel southwest
from Amarillo to El Paso, you would go southwest
551 miles taking this route:Take I-40 WEST from Amarillo to I-25 SOUTH to LAS CRUCES off EXIT 159B in ALBUQUERQUE, NEW MEXICO.Take I-25 SOUTH to I-10 EAST to EL PASO at END I-25 in Las Cruces.Take I-10 EAST to El Paso.
south west
fare bus greyhound el paso tx to amarillo tx
southwest
Amarillo, Texas to El Paso, Texas 6 h 51 min (437.6 mi) via I-40 W and US-54 WThe general direction is westerly.
Southwest
The driving distance between Amarillo, TX and El Paso, TX is approximately 555 miles. The driving time would be approximately 8 hours 45 minutes if you were to travel non-stop in good driving conditions. (The driving time does not take into consideration conditions which may extend trip time such as weather, road work, border crossings and rush hour traffic in urban areas.)
To go from Amarillo to El Paso, you would travel south west.
Without benefit of tables, maps, or calculations I would think that the heading from Amarillo, Texas to El Paso, Texas is about Southwest [or about 225 degrees].