how to connect a mac book air to a wifi printer

Welcome to the Apple Support Communities!

I understand you would like to know how to setup your HP printer for wireless printing. What is the model of your printer?
If it appears in the list below, then the manufacturer's software is not needed.
Printer and scanner software for macOS High Sierra, Sierra, El Capitan, Yosemite, and Mavericks
I would suggest setting the printer up via a USB cable before attempting a wireless connection.
Here is some general information. Check the User Guide for your specific model for more information.
Connect an AirPrint printer to a Wi-Fi network​
If you can‘t print from your Mac or iOS device​
Enjoy the rest of your day!