Not an expert myself, but it is something I am reading more about because I want to get into it. As I understand it, plates are for essentially isolating healthy colonies. You inoculate the plate with a loop that you've dipped into a new yeast tube or commercial bottle of beer, etc. The large surface area allows you to pick a nice healthy and isolated yeast colony as a starting point, ensuring you only end up growing one thing (one strain of yeast and now bacteria or mold). But its purpose is only that.
Once you have a nice looking, round white yeast colony sitting by itself on a plate, you grow that onto a slant - and the slant is what you take from when you want to make a starter.
Right?