Question

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

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 \(-8+( - 2)=-10
eq6\).
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:

\((-2,-8)\)