use slow legato and phrasing that isn't just really fast, and hit the key notes very hard. You want to punch it into their skull. Playing with a lot of emotion can be conveyed through dynamics, or how loud you play. If you wanna be cool, you back off a little bit or palm-mute. However, if you wanna show your emotions, play loudly.

One way to think of it is to decide what kind of emotion you want to portray. If it is a raw or rough emotion like anger or something, play loud and wail it out.. If it is a sensitive or gentle emotion you are trying to portray, use a lot of finesse- like slurs (legato) and vibrato and fluidity :) Remember all of the most emotional solos you can remember and draw inspiration from that. What sort of sound do those solos have? try to emulate that sound in your own style.