What are the coordinates of the image of point r(3,-4) after a reflection over the line x=5?

(7,-4)

if x=5 then imagine a new vertical line on 5

(3,-4) is two spaces left of 5, so to reflect if you would move it two spaces to the right of 5

R' is ( 7 , -4 )

Step-by-step explanation:

( 3 , -4 ) reflected over x = 5

Since the line x = 5 is vertical we'll need to add to the x coordinate of point R.

( 3 , -4 ) is 2 units away from x = 5 so we'll need to add 2 units to 5 and we get

( 7 , -4 ) is R'