Drain slop code question. See Photo

I just plumbed in a drain for a laundry sink and clothes washer in my laundry room and I'm hoping someone can chime in and tell me if this is correct or not. The main thing that jumps out at me is the 22 degree slope of the pipe to the right. That section of pipe is about 20" long and it's the only way I could match up the interior drain line to the one I dug outside. The outside portion is 2" diameter, about 12' long at 1/4" per foot drop, and connects to a 3" drain line at the end. Another question mark is the 1.5" vent for the two 2" drains that drain the sink and washer. Any help appreciated. *the 1.5" vent is abs as well, but it's painted white in this photo. *the y tee in the photo is for a washing machine and a condensate drain for a natural gas heating system yet to be in place. Attachment 42216 (http://www.doityourself.com/forum/attachments/plumbing-piping/42216-drain-slop-code-question-see-photo-img_7081.jpg)