Since your new you don't know. Slayers is not the sort of anime that is celebrated for its artistic style all though I love it myself. The fact of the matter is for its time the Slayers novels were the most popular best selling books in japan for many years. Liken it to harry potter if you will.
So the appeal of Slayers is the story but its a light hearted comedy set in a fantasy world there is no villain of the week situation and very few filler episodes as Slayers basically retells the books.
At any rate you'll need to watch about oh 6 or so episodes of slayers to get the gist of it. The first ep only introduces you to Lina and Gourry.