Some of you said you could not get rid of your landline because you get DSL through CenturyLink. My daughter, two miles from here, has DSL from CenturyLink, and no landline. As of today, I have DSL through CenturyLink, but no landline; I have no other option for Internet, here in the country.
If you are only keeping your home phone because of the DSL, that isn't necessary. You can get rid of the phone and keep your Internet.
I'm adding this a couple of hours later: I just checked my phone; it's been disconnected and there's no dial tone. But I am still chugging away on the Internet. I'm living proof that, at least with CenturyLink, you do not have to keep your landline to have DSL.