Individual presentation for a PhD application
I have not been in this situation so my answer below may be at odds. I was required to have a chat with a potential supervisor and then lodge a detailed application. The fact that the supervisor endorsed my topic was a sure indication of acceptance by the university.

It appears that you are being over cautious (and I can understand why - you only get one shot at this!). My advice is to follow the simple rule of presentation i.e. keep it clear, concise and relevant.

So I would suggest the following for your three slides:


Slide 1 - Tell them what you want to do and how you will do it (i.e. topic and methods)
Slide 2 - Tell them why you want to do it (i.e. gap in knowledge you are addressing)
Slide 3 - Tell them how qualified you are to complete it (i.e. your skills and experience)


The contents and presentation skills go hand in hand, so prepare thoroughly. Unless you have a good reason, don't be too defensive of your approach. Give the impression that you are ready.