If I sync my iPhone to another iTunes will my pictures be deleted?

I reset my whole computer and had to reinstall iTunes. I really don't care for the apps, I just want to know if my pictures will still be there

Yes, Once your iPhone with another iTunes, it will cover your iPhone with the new iTunes library. This will delete your pictures on iPhone. If you are afraid losing the pictures, you can use some third party software like this iPod/iPhone transfer to copy the pictures from your iPhone to computer for backup first.