On October 28, 1995, the Atlanta Braves needed one run to finish a long championship pursuit. They defeated the Cleveland Indians 1–0 in World Series Game 6 at Atlanta–Fulton County Stadium. Tom Glavine's pitching and David Justice's home run delivered the franchise's first title since its move to Atlanta.
Glavine kept Cleveland's powerful lineup quiet for eight innings. He allowed one hit, a single by Tony Peña in the sixth, and left without surrendering a run. The outing gave Atlanta repeated opportunities to find a lead while preventing the Indians from forcing the home team to chase a deficit.
Justice supplied the difference in the bottom of the sixth. His solo home run against Jim Poole broke the scoreless tie. It was a narrow advantage, so every remaining Cleveland plate appearance could still change the game. The homer's importance depended on Atlanta keeping the rest of the scoreboard unchanged.
Mark Wohlers took over for the ninth and completed the shutout. Carlos Baerga's fly ball became the final out, sealing the Series four games to two. A championship won over six games had reached its decisive margin through a single swing and nine innings of scoreless pitching.
Atlanta had lost the World Series in 1991 and 1992 before returning to win in 1995. This finish therefore changed the meaning of the Braves' run of postseason appearances: the pursuit now included a title. The franchise's previous championship had come in Milwaukee in 1957. October 28 belongs to the Atlanta breakthrough, a game where a one-run lead proved sufficient because the pitching held it all the way to the end.