Assistance Needed: Connecting SQL Server to Online Website via API Call

Hello, I'm seeking assistance with connecting to an online website via an API call from SQL Server. I suspect my issue lies with the connection string configuration, but I'm unsure how to set it up correctly. The database I'm working with in SQL Server is hosted on my local computer, and I'm utilizing it to create the API for connecting to the website. While I've found some connection strings online, I seem to be missing crucial details. Any guidance you could provide would be greatly appreciated. Thank you.