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Find the coordinates of A' after the pre-image is reflected over the line y = -x

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You have a point with coordinates A(-6,1).

You have to determine the coordinates of a new point A' after a reflection over the line y=-x.

In order to find A' you consider the following rule:

The reflection of a point (x,y) over the line y=-x is the point (-y,-x)

Thus, you have:

x=-6, y=1

A(-6,1) => A'(-1,-(-6)) = A'(-1 , 6)

Hence, the coordinates of point A is A'(-1,6)

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