30 points draw the image of pqr after a counter clockwise rotation of 90° about the origin

Here you go!

Translating (x,y) counterclockwise by 90 degrees is (-y,x).

check above link.

graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

what is the answer to this