Slaton is a city in Lubbock County, Texas, United States. Founded by German immigrants, Slaton was the westernmost German settlemen…Slaton is a city in Lubbock County, Texas, United States. Founded by German immigrants, Slaton was the westernmost German settlement in Texas. The population was 5,858 at the 2020 census. Slaton is part of the Lubbock Metropolitan Statistical Area.