the transformation (x, y) to (x+4, y-3) is performed on the line segment ab. the image is the line segment a'b' where point a'= (3,-3) and point b' = (5,-3). what are the coordinates of a and b in line segment ab?

A'=(3,-3)

A=(3-4,-3+3)

A=(-1,0)

B'=(5,-3)

B=(5-4,-3+3)

B=(1,0)

 The co-ordinates of the points A and B are (-1, 0) and (1, 0) respectively.

Step-by-step explanation:  Given that the following transformation is applied on the line segment AB and the image is a line segment A'B', where point A'= (3,-3) and point B' = (5,-3).

(x, y)  ⇒  (x+4, y-3).

We are to find the coordinates of A and B in line segment AB.

Let, the co-ordinates of points A and B be (a, b) and (c, d) respectively.

So, we have

(a, b)  ⇒  (a+4, b-3) = (3, -3),

(c, d)  ⇒  (c+4, d-3) = (5, -3).

This implies that

Thus, the co-ordinates of the points A and B are (-1, 0) and (1, 0) respectively.

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