Despite being drafted, Slavin committed to Colorado College to play for the NCAA Division I Tigers ice hockey team.

[4] Following his sophomore year, Slavin signed a three-year, entry-level contract with the Carolina Hurricanes, forgoing his collegiate career.

[5] Slavin made his professional debut to start the 2015–16 season with the Hurricanes' American Hockey League (AHL) affiliate, the Charlotte Checkers.

With 7 assists in his first 14 games with the Checkers, Slavin was recalled by the Hurricanes and made his NHL debut on November 20, 2015.

[9] Slavin was awarded the Lady Byng Memorial Trophy as the league's most gentlemanly player for the 2020–21 season.