# Thread: Coordinates of P

1. ## Coordinates of P

What are the coordinates of point
P, the image of point (3,–4) after are flection in the line y = x?

(1) (3,4) (3) (4,–3)

(2) (–3,4) (4) (–4,3)

2. Originally Posted by magentarita
What are the coordinates of point
P, the image of point (3,–4) after are flection in the line y = x?

(1) (3,4) (3) (4,–3)

(2) (–3,4) (4) (–4,3)
The line y= x is exactly 45 degrees from both the x and y axes. "Reflecting points in a line basically rotates the entire plane around that line. Because the angles are equal, the positive x axis reflects into the positive y axis and vice-versa. The point (x, y) reflects to (y, x).

3. ## your hint.............

Originally Posted by HallsofIvy
The line y= x is exactly 45 degrees from both the x and y axes. "Reflecting points in a line basically rotates the entire plane around that line. Because the angles are equal, the positive x axis reflects into the positive y axis and vice-versa. The point (x, y) reflects to (y, x).
I thank you for your help.