Verified Answer :

WillieH

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

JeanaShupp

Answer: The scale factor of the dilation is \(\frac{2}{3}\)

Step-by-step 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

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

Hence, the scale factor of the dilation is \(\frac{2}{3}\)

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