No, it was not just one line as this article claims.
You're right - it wasn't just one line. Then again, this was probably written by a liberal journalists - and well, they lie.
Correct. The line (itself plagiarized from faux squaw Warren) was part of a broader invective that denigrated the hard work and talent of successful business owners, and instead praising the government for providing the "infrastructure" that those business use. Not pointing out, of course, that the "government" didn't do anything without taking the resources from the business owners and their employees, and that the infrastructure was only needed because those business exist, not the other way around.
Regardless of whether or not the line has been taken out of context (and I disagree with the notion that it has; if anything, the context is worse) it resonates because it crystallizes Obama's attitude toward the private sector perfectly.