Answer:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.
Step-by-step explanation:
Notice the transformation in the point you picked: (-6,4), which from this coordinates change into the point (4,6) after the rotation about the origin.
Notice that the value "4" which was the original "y" value of the point, now became the "x" value for the transformed point.
So so far we have: (..., y) transformed into (y, ...)
now,notice that the value "-6" which was the original x=value for the point, after the transformation appeared in the new "y" position, and with the signed reversed (from -6 into +6), so it became the new x value but with opposite sign.
Then we can complete how the transformation can be represented:
(x, y) is transformed into (y, -x)
This is the last option (option I) in the list of possible answers.
