As shown in the figure, the area of a point a on the image of the inverse scale function and the rectangle ABCD enclosed by the coordinate axis is 8, then the relation of the inverse scale function is___ ．

Let the analytic expression of the inverse scale function be y = KX, the image of the inverse scale function be in the second quadrant, the area of the rectangle ABCD enclosed by a point a on the image of the inverse scale function and the coordinate axis be 8, that is, k = - 8, and the analytic expression of the inverse scale function be y = - 8x. Therefore, the answer is y = - 8x

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