We have blue pearl granite c-tops and a darker cherry cabinetry. we are looking for ideas as to what type/color of backsplash to install. our walls our painted yellow and we have wood floors. Would a slate backsplash work? thanks.

I would choose something that is as far from the granite and countertop as possible in color, but which includes bits of color that reflect both. Perhaps you can find a combination of plain and decorated ceramic tiles that would fill the bill. If you're going to use a stone at all, use the same granite as the counter.

What about something like this? The field is carrera and the accent is Blue pearl:

http://img.photobucket.com/albums/v322/Bill_Vincent/custombacksplash1.jpg