SylvanLMP
Try snaking the line BUT if you can I would very strongly suggest you contact a licensed plumber to water jet these lines rather then just snaking them.
You see a kitchen (especially a kitchen) is prone to soap scum build up and a kitchen line even more so with the grease deposits that accumulate on the piping walls.
Snaking will open the line by punching a small opening in this pipe water jetting will not only scrub the pipe to a like new condition it will flush away the deposits.
Good luck and have a great week end.
