The most classic approach: we build our very own grid-based layout, featuring a custom set of resizing faster and/or vector set of images and icon files, following the responsive design good practices and guidelines as issued by the famous Ethan Marcotte 2010 article published in the A List Apart blog:

http://alistapart.com/article/responsive-web-design.

Also follow the subsequent, improved theories and patterns described in his following brief book (Responsive Web Design, A Book Apart, 2011).