WATER DAMAGE WARNING
In the past month I know of 2 homes that have suffered substantial water damage from the water line that connects to the back of the fridge. These houses are both 10 years old and both had plastic supply lines connected to them. I recommend if you have a similar situation to pull out your fridge and replace the plastic water supply line with a stainless steel braided hose supply line. These SS lines can be found at your local hardware store or plumbing wholesaler. Inexpensive and easy to install.
While you are doing that I also recommend replacing the plastic or rubber hoses used for the wash machine to the SS braided type hoses.