Answer:
Step-by-step explanation:
The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:
and 
where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:
and then y:
The coordinates of point E, then, are (0, 1).
The ratio of coordinates in the image to the coordinates of the original will tell you the dilation factor when diation is about the origin (as here).
Jx'/Jx = -2/-3 = 2/3
This same ratio is true for the other 5 coordinate values, so we know that ...
... the scale factor used in the dilation is 2/3.
_____
Jy'/Jy = -8/-12 = 2/3
Kx'/Kx = -4/-6 = 2/3
Ky'/Ky = -10/-15 = 2/3
Lx'/Lx = -6/-9 = 2/3
Ly'/Ly = -8/-12 = 2/3
-10 is the answer to the question above.
Sorry I didn't read that correct!! If you aren't sure how to do the division, just keep subtracting 4.25 from $20 until you can't anymore!
