To stream to a Facebook page, first make sure your Facebook account has access to the page as an Admin or Editor.
When you're ready to stream, click on the Facebook icon above the Playlist:
Log in, as prompted:
After logging in, your managed pages will appear in the "Manage Facebook" panel on right:
Enter a title & description, choose your desired streaming destination page, and toggle the switch to "On."
Once you have toggled on, the Facebook icon above the playlist will indicate with a number how many pages are ready to receive your stream.
You are now ready to stream live to a Facebook page!