I have a Whirlpool Refrigerator Model GS5SHAXNL00. I get a slow water leak running down the outside back of the refrigerator where the water line runs through a plastic inlet to the ice maker near the top of the freezer compartment. The leak usually only happens when the water in the black rubber tube that supplies water to the ice maker gets frozen and the ice maker stops working.

Here are the manuals: https://dl.dropboxusercontent.com/u/8010163/Whirlpool%20%26%20Kitchenaid%20indoor%20Ice%20Make r%20Systems.pdf
https://dl.dropboxusercontent.com/u/8010163/Whirlpool%20Icemaker%20Troubleshooting%20Service%2 0Manual.pdf
https://dl.dropboxusercontent.com/u/8010163/Whirlpool%20Side%20x%20Side%20Refrigerators%20and% 20Freezers%20Service%20Manual.pdf
https://dl.dropboxusercontent.com/u/8010163/5995436457-Ice%20Maker%20Service%20Manual.pdf
The water should not freeze in that place, but it should flow through it. It should be set up in such a way that all water is emptied from the tube when the water valve closes.