What are the coordinates of vertex A of square ABCD? O (-1,-6)
O (-1,-2)
0 (-1,6)
O (-2, 1)

  (-2, 1)

Step-by-step explanation:

Rotation 90° effects the transformation ...

  (x, y) ⇒ (-y, x)

Translation by (-4, -1) effects the transformation ...

  (x, y) ⇒ (x -4, y -1)

So, the translation of the rotated figure results in the overall transformation ...

  (x, y) ⇒ (-y -4, x -1)

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We have the transformed figure, so need to find the inverse transformation. Solving x = -y-4, we find y = -(x+4). Solving y = x-1, we find x = y+1. So to "undo" the translated rotated figure, we need to apply the transform ...

  (x, y) ⇒ (y +1, -(x +4))

For A''(-5, -3), we have ...

  A = (-3+1, -(-5+4)) = (-2, 1) . . . . . matches the 4th choice

the answer to the question is a  

it has the same slope and the same y-intercept.

a = 11 : 4

b = 38

c = 1 for every 6