1980 GS750L issues running
 

Hey there, I have a 1980 Suzuki GS750L and it’s in pretty good shape I’ve had little to no issues with this bike but as of lately after I ride it for maybe 15-20 min when I come to a stop it wants to die out I have to feather the throttle to keep it idling. I’m new to working on things and I’m kind of confused on what it could be if anyone has any tips or pointers would be greatly appreciated. I really like the bike and it doesn’t even have 10k on it yet so I’d like to just figure out what the issue might be.
https://cimg9.ibsrv.net/gimg/suzukif...36f7d5727a.png