SOLUTION: A dilation T sends A = (2,3) to A′ = (5,4), and it sends B = (3,−1) to B′ = (7,−4). Where does it send C = (4, 1)? Write a general formula for T (x, y).

Question 1158990: A dilation T sends A = (2,3) to A′ = (5,4), and it sends B = (3,−1) to B′ = (7,−4).
Where does it send C = (4, 1)? Write a general formula for T (x, y).
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The center of the dilation is the point P where the line containing A and A' and the line containing B and B' intersect.

(1) Find the equations of line AA' and line BB'
(2) Find their point of intersection, P
(3) Determine the size of the dilation by comparing the distances PA and PA', or the distances PB and PB'
(4) Use the center and size of the dilation to find the image of point C

I don't know what form you use to define the dilation....

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