‘64 Dart Carburetor Help

a piece on the throttle linkage is broken.
There's a few possibilities here.
Since the starter was working, its likely the shift linkage (or cables) are correctly positioned.
The throttle control itself is probably a cable to thethrottle lever on the carb
Last is the throttle pressure control for the transmission. Its really important to have this adjusted properly. The shop manual and the Master tech series have instructions on that.