[QUOTE=supaflyskye;5662043]
I am not looking to breed myself, but am looking into purchasing a puppy from a breeder for the first time, and I want to make sure I do my research.[/QUOTE]
Aha, well that’s very different!
I would ask the breeder how they choose? And also what they hope to get out of any particular breeding. But before that I’d ask them all about their dogs – the health of their puppies, what type of congenital issues this breed has an how they screen for them, and look at show records, etc. Ask for vet references and show/pet home references too. Most (especially show breeders) will have a long list of people that they would have you talk to if you want to know more about their breeding.
Just from my limited experience, good breeders really do have access to lots and lots of potential mates. So when they “line breed” it isn’t because they don’t have options, it’s because they are looking to repeat certain qualities. I think that most good breeders are very careful because it’s really expensive to breed a litter and lord knows that if it’s not good everyone will know about it. 
I do hope, however, that someone who is a breeder will post about line breeding. My dog’s breeder can go on for days about how she chooses potential matches but soemtimes I get lost. :lol:
ETA: looking at my show dog’s pedigree, it is closer. But there are no “lines” or in-breeding until 3 generations back. Then it is closer. So that may make a difference – the closer to the puppy in question, the farther the gene pool the better. In our case, at the Great-Grandparent level, 4 of the 8 great-grandparents of of common ancestry; each mated with a dog not of the same ancestry. Boy, that’s confusing. 