Horvat made it 4-2 at 18:55, ending a 13-game goal drought.
"It wasn't fun. It was probably the longest one since my second year [in the NHL] that I had that kind of a streak," Horvat said. "It was one of those things where you just had to laugh about it. I would have been more worried if I wasn't getting the chances and stuff. So to finally see it go in and get the win definitely felt great."
Jesperi Kotkaniemi made a 4-3 at 19:11 of the third period with Kochetkov pulled for the extra attacker.
"I thought it was a great response tonight," Islanders captain Anders Lee said. "I thought it was a character showing tonight, up and down the lineup. Everyone was involved. Everyone's got to be rolling to beat these guys. And we did that. ... We have to build on this. It's a good feeling in here right now."
NOTES: Tsyplakov has goals in back-to-back games for the first time in his NHL career. … The Islanders defeated the Hurricanes at home for the first time since Nov. 24, 2018; they had lost the seven previous seven (0-5-2). … Svechnikov has six points (three goals, three assists) in his past two games. … Gostisbehere extended his point streak to three games (five assists).