Final answer:
Southwest Airlines is headquartered out of Love Field in Dallas. It is a major American airline known for its low-cost carrier model.
Step-by-step explanation:
The airline that is headquartered out of Love Field in Dallas is Southwest Airlines. Founded in 1967 by Herb Kelleher and Rollin King, Southwest started operations in 1971.
Love Field serves as the corporate headquarters for Southwest, and it is also one of its major operational bases.
Southwest Airlines is known for its low-cost carrier model and occupies a significant share of the domestic airline market in the United States.