If you are not used to using oscilloscopes it can be hard to make them produce anything, or they can produce confusing results. This is a storage scope, which adds to the complexity.
If you set the channels to GND and triggering to Auto, you should see a straight line at high timebase speeds, (that is fewer ms per division), and as you decrease the timebase speed, (more ms and then seconds per division) you should see a spot starting from the left and moving across the screen slowly and then repeating.
If it's a fault, I'd guess it's either a triggering problem, or the timebase doesn't work at the lower speeds. To fix it you need the manual, which for most Tek scopes can be found on line, and work through it systematically. It helps if you have another scope, which need not be a very high performance one. A lot of faults in old scopes turn out to be soldered joints which have become bad, or switches in need of cleaning.