Slaton is a city in Lubbock County, Texas, United States. It has a population of 6.121. Slaton was named for Lubbock rancher and banker O.L. Slaton, Sr. (1867–1946), who promoted railroad construction in Slaton. The median income of a family living in the city is about $31.000. The city is known for its art and culture first and foremost. In 1912, the Atchison, Topeka and Santa Fe railroad, through reorganization now the Burlington Northern Santa Fe, opened a depot in Slaton. It’s now a museum with parts of it available for renting.