There is a little town by the name of Mountain City, Tennessee, at the very eastern tip of the state (red arrow):
Of course, Tennessee is a long state, and Memphis is on the very western end (blue arrow):
You can still see the red arrow pointing to Mountain City, which does no longer show up on this map with this resolution.
It is surprising that Mountain City is closer to Canada than to Memphis.
To illustrate that, I have drawn a circle entered on Mountain City (red arrow), starting in Memphis (green arrow), ending in Ontario, Canada (blue arrow). You can click on the maps to zoom in:
I know you really wanted to know that.