IPhone 6 Screen Broken for no reason?

I was watching a video, and I noticed the phone was getting fairly hot. I decided it wasn't much of a problem. However, it randomly seemed to turn off, but the phone responds. So I figure the problem is the screen, but don't know what to do to fix it or why it's broken. I have tried force restarting it (Home + Power) and everything, it makes noises and vibrates but it still doesn't show anything. I can't really do anything with it via computer because I have to log into the phone first and I can't see my passcode to log in. What do I do?

Screens don't break from magic.