Slocum's long birdie putt from behind the 16th green banged against the pin and disappeared into the cup for an unlikely birdie, sending him to 2-under-par 68 and a one-shot victory over Bill Haas.
"That's a putt he'll always remember," Haas said.
Augusta native Charles Howell shot a tournament-record 8-under 62 to finish tied for sixth.
Brian Gay shot 70 to finish 6-under while Aiken's Alex Hamilton had 72 and dropped into a tie for 45th. Blake Adams had 68 and finished tied for 64th.
CHAMPIONS TOUR: In Potomac, Md., Mark O'Meara knocked in a 4-foot par putt on the first playoff hole to defeat Michael Allen and win the Senior Players Championship for his first individual tour victory.
O'Meara had a three-shot advantage on the back nine at the TPC Potomac at Avenel Farm, but a bogey on No. 16 shrunk his lead, and Allen charged into contention with birdies on three of the last five holes.
Charles Schwab Cup points leader Bernhard Langer rallied to shoot 67, good for a ninth-place finish.
Augusta native Larry Mize shot 70 and finished tied for 33rd.
EUROPEAN TOUR: In St. Andrews, Scotland, PGA champion Martin Kaymer closed with 6-under-par 66 to win the Dunhill Links Championship, making him the first European Tour player in 21 years with three consecutive victories.
Kaymer's streak began with his playoff win at Whistling Straits in the PGA Championship. He then won the Dutch Open in September while preparing for the Ryder Cup. Kaymer finished at 17-under 271 for a three-shot victory over Danny Willett.
- Kaymer said he has not decided whether to join the PGA Tour next year, and that he will wait "a few weeks" before deciding whether to launch his first challenge for the U.S. tour's FedEx Cup title next year.
LPGA TOUR: In Prattville, Ala., Katherine Hull rallied to win the Navistar LPGA Classic for her second career LPGA Tour victory, pulling ahead with a birdie on the par-5 17th and finishing with a par for 5-under-par 67 and a one-stroke victory over Brittany Lincicome.
NATIONWIDE TOUR: In Chattanooga, Tenn., Scott Gardiner birdied his fourth playoff hole with Joe Affrunti to win the Chattanooga Classic.
Aiken's Kevin Kisner had 68 and finished tied for 11th.