The Blue Devils improve to 6-0 on the year while the Colonels fall to 2-3.
King's scoring output marks the ninth-highest single-game performance by a Duke rookie in school history while establishing a new school standard for reserves. The previous mark for scoring by a player off the bench was 25 points, held by five players including Luol Deng against North Carolina on March 6, 2004.
Duke never trailed in the contest, snapping a 2-2 tie with a layup by Kyle Singler just over two minutes into the first half. Singler's bucket started a 16-3 run that gave the Blue Devils an 18-5 advantage on King's three-pointer with 9:15 on the clock. Duke led by a 34-12 count at intermission as Eastern Kentucky made just four-of-17 field goal attempts and committed 18 turnovers in the opening 20 minutes.
The Blue Devils led by as many as 38 points in the second half.
King connected on 9-of-14 field goals including 6-of-11 three-pointers. The six triples match the Duke single-game record for rookies also held by Trajan Langdon and J.J. Redick. DeMarcus Nelson and Gerald Henderson added 12 and 10 points, each.
Eastern Kentucky was led by Adam Leonard's 12 points.
Duke hosts Wisconson on Tuesday evening (9 p.m. on ESPN) as part of the annual Big Ten/ACC Challenge.