Question

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

The scale factor of the dilation is ________.


Type a numerical answer in the space provided. If necessary, us the / key to represent a fraction bar.

Answer 1

2/3

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 :)