If you have profiles for your art business on social media sites such as Facebook, Twitter, LinkedIn, etc., make sure you include a link to your website.
Social media sites get lots of traffic from search engines because they are huge sites used by millions of people. This doesn't necessarily mean you'll get lots of traffic, but every relevant link helps. Just make sure you set your profile to "public" because the search engines don't index pages that are marked private.
See this post about creating a separate business page on Facebook so you can keep your private and professional worlds a bit more separate.