You're part way there. Post the image somewhere that is accessible via the internet (has a URL to the image). Your above posted link works just fine. Follow the link and right click on the image and select "properties". The prompt will display the address/url to the image itself (not the page that contains the image).
Copy the image's address/URL. If you just paste the address/URL in your BF post, BF will automatically "sandwich" the URL between [ url ] [/ url ] tags, which ends up looking like this:
http://farm3.static.flickr.com/2548/...68de8a4ae8.jpg This is still a valid link and can be followed if clicked but if you want to actually see the image in the post (instead of a link to the image), do this ...

Instead just open the "Insert Picture" icon above the message box and paste the image's URL in the prompt and "ENTER". BF will "sandwich" the URL between [ IMG ] [/ IMG ] tags instead of the URL tags. You could also edit them yourself after posting if you want to do it the manual way.

Once the URL is between the IMG tags, the result looks like this: