Answer: Equation of reflected ray is
B y+x=6
The point that does not lie on the reflected ray is :D -2,-8
Step-by-step explanation:
The equation of incident ray is y-x=4 .The equation can be written as y=x+4.
The slope of line is m=1 .Any reflected ray will be perpendicular to the incident ray.Slope of line perpendicular to line y-x= 4 is m=-1.( slope of perpendicular line is reciprocal with opposite sign).
The reflected ray is having a slope of m=-1 and passing through the point (1,5)
Equation of line in point slope form is y-5=-1(x-1)
Or y-5=-x+1
y+x=6.
The point that does lie on the reflected ray is :D (-2,-8)
as if =-2 and y=-8 then
y+x=-2-8=-10 which is not true as the equation of reflected ray is y+x=6.
Other points are true for y+x=6.
As A)(2,4) we have 2+4=6 True
B)(4,2) we have 4+2=6.True.
c) (8,-2) we have 8-2=6.True.
