The black and yellow garden spider looks a lot more menacing and dangerous than it actually is. The spider is most commonly found in the lower states of the United States, as well as in Mexico and throughout Central America.
Like most spiders, the black and yellow garden spiders like to weave their webs in the gaps and corners of the outside of houses and sheds. Wikipedia also states that the black and yellow garden spiders "often build webs in areas adjacent to open sunny fields where they stay concealed and protected from the wind".
If you need to get rid of the spiders, then it is much more humane to simply 'move them on' rather than kill them. The best approach would be to destroy their webs, then they will look for somewhere different to weave them. This should get rid of them without having to kill them. Most spiders are completely harmless, yet many people have a real fear and phobia of them. This can lead to full blown arachnophobia if it is not properly tackled.