The goal brought a little extra celebration from Laine, an underhanded right-hand wave. Laine usually opted for more reserved reactions after his 44 goals during the regular season.
"I was saving my goals and celebrations for the playoffs," he said. "Now you can [celebrate] a little harder."
In Atlanta, the Thrashers were swept in the 2007 Eastern Conference Quarterfinals by the New York Rangers.
In Winnipeg, the Jets were swept in the 2015 Western Conference First Round by the Anaheim Ducks.
And in Winnipeg's own history, there hadn't been a playoff victory on home ice in nearly 22 years. Winnipeg had a 4-1 victory against the Detroit Red Wings on April 21, 1996, in Game 3 of a series the original Jets lost in six games.
The Jets have five players on their roster who began their NHL careers with the organization in Atlanta.
Forward Bryan Little was one, and he admitted after the win that he had thought about some of the history on Wednesday.
"The best part [about winning] is probably not having to be asked about it again," Little said. "You can check that one off the list and hopefully there's a lot more this year.
"And a lot of guys, this was their first playoff game. All of that was definitely in the back of my mind, but at the same time I was thinking we just want to win Game 1 real bad, especially on home ice. That was more my thinking. There's obviously time to think about it after, the significance of it, but it's one game and now we can let it go."