Start with subtracting 4x from both sides:
9y=6-4x
Then divide both sides by 9:
y= (6-4x)/9
Simplify:
y= (1-4x)/3
You want to find each coordinate of each part of the arrow, so let's do the arrow's point,
It looks like the coordinates for each of those points (1,-3) for Figure S, and (2,-6) for Figure T.
As you may know, coordinates are (x,y), you can see that Figure S' x coordinate is 1, and Figure T's x is 2.
1 times "2" is 2!
Same for the y on each, -3, and -6,
-3 times "2" is -6!
So therefore, this figure is dilated by two. Your answer is A!
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4^2+B^2=12^2
16+B^=144
B^2=128
B=11.31