…python -m pip executes pip using the Python interpreter you specified as python. So /usr/bin/python3.7 -m pip means you are executing pip for your interpreter located at /usr/bin/python3.7.
But when you use python -m pip with python being the specific interpreter you want to use, all of the above ambiguity is gone. If I say python3.8 -m pip then I know pip will be using and installing for my Python 3.8 interpreter (same goes for if I had said python3.7).
While we’re on the subject of how to avoid messing up your Python installation, I want to make the point that you should never install stuff into your global Python interpreter when you. develop locally (containers are a different matter)! If it’s your system install of Python then you may actually break your system if you install an incompatible version of a library that your OS relies on.