I have a view slideshow that I managed to set up by following these instructions.
This isn't exactly what you asked for, however:
I have tried a bunch of slideshows that claim various degrees of responsiveness and the best out of the box solution I have found that works as expected, is easy to set up, and is properly responsive, is the flexslider module, which can either be used by itself, or can be used with the views slideshow module.
If you haven't tried it it is definitely worth trying.
Not sure why my question was downvoted but here is the answer.
I created a views block for my custom content type "Slider Images" and called it "Home Page Slider". I set the "Slider Images" Link and Image as Fields in the view and formatted it as an HTML list.
In my template.php file I used this function
to add my JS and CSS needed for the responsive slider plugin I wanted to use