I love where I live! I'm a transplanted Yankee (OK, Hoosier...). The negative connotations of East Tennessee are similar to what some of you mention in KY, WV, western VA, western NC, GA & AL.
I think what people imagine of life here is a dilapidated shack or trailer home with many filthy kids, a useless refrigerator on the porch. Out front in the yard there are two rusted-out junkers slowly reverting back to their base elements, in the side are pig pens and backwoods is a moonshine still - the big-ol' satellite dish connected to the house is worth more than everything else around.
In Tennessee there are three very distinct cultural & geographic regions - west Tenn (Memphis area) is flat-land, river country. Middle Tennessee (Nashville area) is foothills. Once you cross the Cumberland Plateau at Crossville into East TN (Knoxville, Chattanooga, Kingsport/Bristol/Johnson City), you're in true Appalachia. I identify E. TN more with Atlanta GA than Memphis TN.
One of the lesser-known facts about East Tennessee is that during the Civil War, E. TN was a strong area of Unionist sympathy. Similar to the history of WV & VA, except WV successfully seceded from VA in 1863... There were also plans for E. TN to secede from the rest of Tennessee in that timeframe. KAMommy has documented ancestors who fought (& died) in small local skirmishes during the Civil War.
No state income tax, good schools (in our county), relatively low standard of living (compared to other parts of the US). We are both professionals (I'm a partner in an architectural firm, KAMommy is a VP in a large regional bank), so we're making good money...
I've lived in Indianapolis IN (9 years), Terre Haute IN (8 years), Beckley WV (1 year), Knoxville TN (13 years), & finally in Maryville TN (directly south-east of Knoxville) for the last 5 years. I've spent considerable amounts of time (1+ weeks) recently (say in the last 5 years) in Orlando FL (duh), Atlanta GA, Asheville NC, Lexington KY, Chicago IL, Indianapolis IN, & Philadelphia PA. I've had many shorter recent visits to Nashville TN, Cincinatti OH, Charleston WV, Charleston SC, Hilton Head SC, & Savannah GA. I've been up into NYC & beyond into New England many, many years ago. We've cruised the Caribbean a couple of times. I've never been farther west of the Mississippi than St. Louis MO.