Your first step could be to try and tighten it a bit. Some caution is required. You can see the flat area on the brass fitting. It's there so that you can put a wrench on it while tightening the black fitting. It prevents twisting the copper tubing.
Also caution is needed on how much you try to tighten it. Certainly don't use pliers etc. Firmly tightened is about as much as you want to go. Breaking the plastic fitting adds another dimension to the situation.
In this type of situation, where the leak is only a drip, I often use a dab of pipe sealant on the threads. Don't use teffie tape as that could allow you to tighten the fitting to the point of breaking it.
Ron