Questions & Answers about Perché non vuoi ballare con me?
Why is ballare in its dictionary form instead of being conjugated?
Because it comes directly after the modal verb volere (to want). When you use a modal verb, you only conjugate the first verb (vuoi for "you want") and leave the second verb in its infinitive or dictionary form (ballare for "to dance").
How does the negation work here without a word for "don't"?
Why do we use me instead of mi at the end of the sentence?
Words like con (with) are prepositions. After a preposition, Italian requires a stressed pronoun so it can stand on its own. The stressed pronoun for "me" is me, whereas mi is an object pronoun used directly with verbs (like in mi piace).