The primary purpose of this Study is to help answer the following research question(s).
* How does LY2189265 affect gastric emptying (the speed at which food and drink leaves the stomach) in patients with Type 2 diabetes?
* How does LY2189265 affect how the body handles metformin (a drug used to treat Type 2 diabetes)?
* Is LY2189265 safe and are any side effects associated with it?
The study will be participant-blind in Week 1, and participant- and investigator-blind from Week 2 through Week 5.
Each participant will receive placebo on Week 1 and once-weekly doses of LY2189265 or Placebo on Weeks 2 to 5. Participants taking metformin for the treatment of Type 2 Diabetes Mellitus (T2DM) will continue taking metformin as part of the study.