The image of (6, 9) under a dilation is (4, 6). the scale factor is -2 2/3 -2/3

The scale factor is 2/3.

Step-by-step explanation:

Given data,

The given image is (6,9)

The image after dilation is (4,6)

The scale factor is calculated by dividing the resultant image by the initial image.

For example, if the initial dimensions are (x1, y1) and the final dimensions are (x2,y2). The scale factor is calculated using x2/x1 = y2/y1 = Scale Factor  

In our scenario,

x1  = 6

x2 = 4

y1  = 9

y2 = 6

Scale Factor = x2/x1

=> 4/6

=> 2/3

Similarly for y axis,

Scale Factor = y2/y1

=> 6/9

=> 2/3

Therefore, the scale factor is 2/3.

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step-by-step explanation: