Ran out of ice yesterday. Ice tray was bone dry. Water dispenser continued to work properly. I checked the intake water line and discovered a slow leak where it connects to the refrigerator. I tightened the brass screw but still had the slow drip. The line is not cracked. Can anyone suggest a fix before I call for repairs?

Dime sized feeder tube was indeed frozen. I will thaw today w/hair dryer. The leak was where the plastic line meets the freezer. No cracks found in the line. Thanks for pointing me in the right direction. I'll let you know if thawing solves the problem. Should I expect recurrence or might this have been a "one time" problem? We have had the refrigerator since 2001 without any problems.