Line segmentAB has vertices A(−3, 4) and B(1, −2) . A dilation, centered at the origin, is applied to AB⎯⎯⎯⎯⎯ . The image has vertices A′(−1, 43) and B′(13, −23) .

What is the scale factor of the dilation?

16

13

3

6

The scale factor is

Step-by-step explanation:

Line segmentAB has vertices A(−3, 4) and B(1, −2) .

A dilation, centered at the origin, is applied to AB. The image has vertices

A'(-1,4/3) and B′(1/3, −2/3) .

We know the rule for dilation by scale factor of k, is

This means that;

But we know, A' has coordinates (-1,4/3)

This means that

We could also compare:

4k=4/3

Which gives

k=⅓

6 and 24

step-by-step explanation:

6 x 4 = 24