To pass by or cross (quickly); also to flash across (one's mind) — something moving past briefly or a thought/memory briefly occurring.
電車の窓から昔の町並みがよぎった。
The old streets flashed by outside the train window.
ふと不安が胸をよぎった。
A feeling of unease suddenly crossed my chest.
廊下を人影がよぎったので振り向いた。
A figure passed down the corridor, so I turned around.