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Step-by-step explanation:

(0,-4)

Step-by-step explanation:

The complete question is

Quadrilateral JKLM was dilated according to the rule    

DO,1/2 (x,y)( 1/2x1/2y) to create the image quadrilateral J'K'L'M', which is shown on the graph.

What are the coordinates of vertex J of the pre-image?

The picture in the attached figure

we know that

The rule of the dilation is

(x,y) -----> (1/2x,1/2y)

The coordinates of vertex J' are (0,-2) ----> see the graph

therefore

The x-coordinate of J (pre-image) multiplied by 1/2 must be equal to the x-coordinate of J' (image)

----->

The y-coordinate of J (pre-image) multiplied by 1/2 must be equal to the y-coordinate of J' (image)

----->

therefore

The coordinates of J are (0,-4)