Graduate, University Texas, 1949.
Martin was an alumnus of Jefferson Davis High School in Houston, where he led his school to two state basketball championships in 1942 and 1943. He is also a graduate of University of Texas at Austin, where he set a scoring record in 1949 with 49 points in a game for the Longhorns against Texas Christian University (or Texas Christian University). Throughout his career with the Longhorns, he averaged 12.7 points per game.
His former high school now holds an annual fund raiser in his name, the "Slater Martin Golf Tournament", which successfully raises tens of thousands of dollars each year for high school student clubs and athletic teams.
He was head coach of the Houston Mavericks of the American Basketball Association in the 1967-1968 season and part of 1968-1969, and led the Mavericks into the 1968 American Bar Association Playoffs. Martin was inducted into the Naismith Memorial Basketball Hall of Fame on May 3, 1982 in Springfield, Massachusetts.
He is so far the only Longhorn to be so honored. His jersey number 15 was retired by the University of Texas on January 31, 2009, making him only the second Longhorn basketball player to have his number retired.
He died of a brief undisclosed illness on October 18, 2012, in Houston, Texas, aged 86, and is survived by sons Slater Junior and Jim.