Question

What is the image of the point (-7,-6) after a rotation of 270° counterclockwise about the origin?

Answer 1

Take into account that a rotation of 270° counterclockwise around the origin can be defined as follow:

T(x,y) => T'(y,-x)

Then, for the point (-7,-6) you have:

(-7,-6) => (-6,7)

Hence, the image of the point is (-6 , 7)