The line comes from Avatar: The Last Airbender, the Nickelodeon animated series that ran from 2005 to 2008. In the Book Two episode The Desert, Sokka drinks juice from a cactus while lost in the Si Wong Desert and spends the episode loopy and obsessed with how quenchy it is. Clips of the scene circulated for years in edits and reaction posts, and quenchiest became shorthand among fans for any drink that looks impossibly refreshing, especially on a hot day.