Question

The image of (6, 9) under a dilation is (4, 6).

Answer 1

Step-by-step explanation:

For this case we have the following ordered pairs:

(6, 9)

(4, 6)

The scale factor can be found in two different ways:

k = 6/4 = 3/2 = 1.5&

#10;&

#10;k = 9/6 = 3/2 = 1.5

Therefore, the scale factor is given by:

k = 1.5&

#10;

The scale factor of the dilation is 1.5

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Answer 2

Answer:

2/3

Step-by-step explanation:

The scale factor is the number that the original image is multiplied by to find the new image. So, we have to find what number multiplied by 6 equals 4 and what number multiplied by 9 equals 6. This can represented as an equation, with the unknown number represented by x:

6 * x = 4

6x = 4

Divide both sides by 6 to isolate x:

6x/6 =4/6

x = 4/6 = 2/3

x = 2/3

9x = 6

9x/9 = 6/9

x = 6/9 = 2/3

x = 2/3

For both dilations x came out to be 2/3. So, the scale factor is 2/3.

Hope this helps :)