From your profile, under your name, look for and click on Contact Info
Then click the pencil to edit
Click on Profile URL, you are now seeing your public profile.
At the bottom of the right column, click on the Create a badge button
Copy the code in step one and add it to your website, or provide it to your web developer.
Copy the code in step two that corresponds with the desired LinkedIn badge. Add to your website or send it to your developer.
Here’s a great video for the visuals.