Slater became a research assistant to the State Judiciary Committee of the Arkansas Constitutional Convention in 1979–80, an assistant attorney general for the state of Arkansas in 1980. He was appointed to several state government positions in Arkansas by Bill Clinton. Positions included assistant to the governor between 1983 and 1987, and member of the Arkansas State Highway Commission between 1987 and 1993.[3] Slater was also the director of governmental affairs for Arkansas State University during that time.[4]
Wendell H. Ford Aviation Investment Reform Act for the 21st Century (AIR-21), which provides a record $46 billion to provide safety and security of the nation's aviation system
He serves on the board of directors of Africare, a nonprofit providing development aid to countries in Africa, and The Dance Theater of Harlem,[citation needed] and is the chair of the Board of Trustees of United Way. Slater also serves on the corporate board of Verizon. He served on the board of Northwest Airlines, continuing on with Delta Air Lines after their merger in 2008.[7] He has been appointed to join the board of WS Atkins as a non-executive director effective 9 September 2011.
As of December 3, 2014 Slater was appointed to serve as special counsel to Takata Corporation in support of Takata's dealings on the 2013 airbag recall issues they are facing. They will advise the Company as they address the current challenges Takata faces.[8] He also led a safety advisory panel for Toyota and served as independent monitor for Fiat Chrysler Automobiles.[6]