i need help pls

Question

What is the image of the point (4,2)(4,2) after a rotation of 90^{\circ}90∘ counterclockwise about the origin?

Answer 1

rotate (4,2) counterclockwise 90 degrees around the origin

it becomes (-2,4)

switch x and y coordinates, and change the sign of the new x coordinate

it may help to draw a rough graph, then rotate the graph 90 degrees, counterclockwise

the x axis becomes the new y axis.

the y axis becomes the new x axis but with negative and positive sides switched