Question

Point W(5, -6) is reflected across the line y = -x. Which of the following is the location of its image, W’.

Answer 1

Since it's reflected over y=-x, just flip the signs 6,-5

Answer 2

The location of the image W' is:

W'(6,-5)

Explanation:

We know that when a figure is reflected across the line y= -x then the figure is transformed and each of the points of the figure are also transformed by the rule:

(x,y) → (-y,-x)

Here we have a point W is located at W(5,-6).

Now, on reflecting this point across the line the location of it's image W' is given by:

W(5,-6) → W'(-(-6),-5)

i.e. W(5,-6) → W'(6,-5)