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Question

Find the new coordinates of point (4, -6), if the origin is shifted to the points (-4, -3).


Solution

The coordinates of the new origin are h = -4 and k = -3 and the original coordinates are given to be x = 4, y = -6. Let the new coordinates of the point be (X, Y), then,

X = x -h = 4 - (- 4) = 8

and         Y = y - k = - 6 - (- 3) = -3

Hence, the coordinates of the point (4, -6) in the new system are (8, -3).

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