Given the point (-6, -3)
We will find the image of the point after the following transformation:
[tex]R_{90}\circ r_{y=-x}[/tex]
So, first, we will find the image of the reflection over the line y = -x and then apply the rotation of 90°
The rule of the reflection over the line y = -x will be as follows:
[tex](x,y)\to(y,-x)[/tex]
Apply to the given point:
[tex](-6,-3)\to(-3,6)[/tex]
Then, we will find the result after the rotation of 90
the rule of the rotation will be as follows:
[tex](x,y)\to(-y,x)[/tex]
Apply to the point (-3, 6)
[tex](-3,6)\to(-6,-3)[/tex]
So, the answer will be (-6, -3)
