(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2
(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2
2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==
ANSWER
The scale factor is 2.
EXPLANATION
The point H(7,9) is dilated about the origin and the image is (14,18).
Let the scale factor be k.
Then,

Comparing to the given image, we have:

This implies that,

Divide by 2

Or


Mode would be sets that are the same