Answer: 1.5
Explanation:
We know that when a figure is dilated from the origin , then the scale factor if dilation is the ratio of the coordinate of image to the pre-image.
Given : line segment DF on a coordinate plane with D at (0,4) and F at (3,2) segment DF is dilated from the origin to create segment D prime F prime at D′ (0, 6) and F′ (4.5, 3).
Then, the scale factor will be :-

Therefore, the required scale factor = k= 1.5