Three circles , each of radius 3, are drawn with centers at (14,92),(17,76),and (19,84). A line passing through (17,76) is such that the total area of parts of the three circles to one side of the line is equal to the total area of the parts of the three circles to the other side of it. Find the absolute value of the slope of the line.

(第二届AIME1984 第六题)