How do I check if my motherboard is compatible to my new video card?

Yes, they are compatible although that is a low profile graphics card without a fan. If you want a fan, you might look at another graphics card like this one: a href="http://www.newegg.com/Product/Product.aspx?Item=N82E16814131342" rel="nofollow"http://www.newegg.com/Product/Product.as…/a