Wonderful brick cottage in North Hills on the Dogwood Trail. 2BR/2BA. hardwood floors, master on main level, insulated windows, fenced in back yard, wood deck, fireplace. Knoxville is located on the banks of the Tennessee River in the valley between the Great Smoky Mountains and the Cumberland Plateau in the Southern region of the Appalachian Mountain chain. It is the center for commerce and industry in East Tennessee. The area is popular with outdoor enthusiasts because of the temperate climate and four distinct seasons. Tennessee has no state income tax.