Yes, images are important to make a site colorful and appealing but are they important in seo? I have never considered images for seo. I just randomly put some free pics in my each blog post.
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We all know about Google Image search engine it is also like Google site search engine so you can automatically think about the role of images in search engine example ... if you are writing a good content in your blogpost it will automatically come to the search engine . If you use the alt in your blogpost for the images the alt text you will get more traffic through them . examble if the image is about game then add the alt text "game" . When some one search in the Google Image search with the keyword game . he will get your images and some times they visit your blog post