a ray of light is reflected from a mirror such that the reflected ray is perpendicular to the original ray…

a ray of light is reflected from a mirror such that the reflected ray is perpendicular to the original ray, as shown in the diagram. the equation of the reflected ray is y + x = 6. the point < does not lie on the reflected ray. (-2,-8) (8,-2) (4,2) (2,4) select the correct answer from each drop - down menu. next
Answer
Explanation:
Step1: Recall the equation of the line
The equation of the reflected ray is (y + x=6).
Step2: Check each point
For point ((- 2,-8)): Substitute (x=-2) and (y = - 8) into (y + x), we get (-8+( - 2)=-10\neq6). For point ((8,-2)): Substitute (x = 8) and (y=-2) into (y + x), we get (-2 + 8=6). For point ((4,2)): Substitute (x = 4) and (y = 2) into (y + x), we get (2+4=6). For point ((2,4)): Substitute (x = 2) and (y = 4) into (y + x), we get (4 + 2=6).
Answer:
((-2,-8))