Here is another slideshow I did.
Here are the steps I used in Flickr.
Because I have other photos added in Flickr, I have some extra steps perhaps.

1. Go to Flickr.com and login 
2. Choose Upload (I like to have all my pics in one folder)
3. Go to Organize tab across the tab and create a new set of pics
4. Give your set a name
5. At the bottom of this page, you should see a link that says open set page.
6. Once you open that page, you should see the icon to create a slideshow.
7. Then, you should see a share button in the upper right corner where you can grab the embed code.
8. When I upload, all of my photos are public automatically. But, make sure your photos are public or they will not display on your blog.