Comparing linear equation

Question

Which line is Which line in the graph is a transformation of the line Y =-3X after a rotation of 90° counterclockwise around the origin or horizontal shift of 2 units to the left and a vertical shift of 5 units down.

Answer 1

y=-3x rotated counterclockwise about the origin is y=x/3

new y axis after the rotation = the old x axis

new x axis after the rotation = the old y axis

y=-3x shifted horizontally 2 units to the left is y=-3(x+2) = -3x -6

then shift 5 down is: y=-3x-6-5 =-3x-11

y=-3x-11