Question

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

The scale factor of the dilation is

Answer 1

Scale factor is
Image/pre image
4/6 = 2/3 is the scale factor proof
6/9 = 2/3
identical conclusions. Thus the scale factor is correct

Answer 2

Answer: The scale factor of the dilation is
`(2)/(3)`

Explanation:

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

In dilation, the scale factor 'k' is the ratio of the coordinate of image to the coordinate of pre-image.

Taking the x coordinates of both image and preimage, we get

`k=\frac{\text{image x coordinate}}{\text{pre-image x coordinate}}\\\\\Rightarrow\ k=(4)/(6)\\\\\Rightarrow\ k=(2)/(3)`

Hence, the scale factor of the dilation is
`(2)/(3)`