“Absolutely. I'd love to.”

A girl in one of your classes is asking you out on a date. You like her a lot, so you want to accept her invitation. You say:

Absolutely. I'd love to.

Absolutely.

When you answer a question with "Absolutely", it means "yes". But "Absolutely" sounds even more definite than "yes". You answer "Absolutely" when you're really sure that the answer is "yes".

I'd love to.

This is the basic way to accept an invitation to do something. Here's an example:

A: Would you like to join me for dinner?

B: I'd love to.

This phrase is a pretty traditional and slightly formal answer. A more casual (and less serious) answer would be:

Yeah, sure.

Another answer that falls somewhere between "I'd love to" and "Sure" is:

That would be great.