can you please help ,e with this problem

Question

11. Reason quantitatively. Use your answer from Item 9 to write a conjecture about the symbolic representation for a 270° counterclockwise rotation.

 

(x,y) → (  ,   )

Blank 1: 

Blank 2: 

Answer 1

(y, -x)

Note that it's the same as rotating 90º clockwise. As rotation is a linear transformation, we have T(x, y) = xT(1, 0) + yT(0, 1) = x(0, -1) + y(1, 0) = (y, -x), where T is the rotation transformation.