Tennessee built a 10-point lead midway through the second half on a 15-0 run, holding the Razorbacks scoreless for over six minutes. Two Thaydeus Holden free throws following a technical foul on the Arkansas bench gave UT a 44-34 lead at the 10:44 mark.
The Vols, who led by as many as 13 in the second half, built its second half margin despite Slay's first field goal in the second half coming at the 6:26 mark.
Holden (17 points) and C.J. Watson (15 points) joined Slay in double-figures for the Vols.
Slay's 17 points helped lead Tennessee to a 28-25 halftime advantage. Slay connected on 7-of-12 from the field in the first half and scored eight of the Vols' first 10 points.
C.J. Watson hit a three-pointer that put the Vols up for good, 25-23, before the half with 2:39 to go in the half.
Dionisio Gomez lead the Hogs with 18 points. Arkansas falls to 7-13 overall and a dismal 2-7 in the SEC.
Tennessee returns home Saturday to take on No. 4 Florida at Thompson-Boling Arena in a 5 p.m. (EST) start. This will be a very pivotal game for the Vols to remain in the lead for a NCAA Tourney berth.