To say something or communicate in a way that aligns with one's preferences, desires, motivations, etc. A: "Look, I know all this technical jargon is pretty boring. Why don't we finish early for the day and go out for pizza?" B: "Oh yeah, now you're speaking my language!" A: "I'm a little worried about pitching my idea to the board of directors tomorrow." B: "Just focus on how your plan will boost profits, and you'll be speaking their language."