Which linear equation can be used to represent a line perpendicular to Line W passing through point (-3,-2)? line on graph is x=8

D) y =   -2

The equation of the perpendicular line to the given line is  y = -2

Step-by-step explanation:

Explanation:-

Given point (-3,-2)

In graph the equation of line  x = 8 ( parallel to y- axis )

                              1 x + o y - 8 =0

The equation of the perpendicular line to the given line  

                        b x - a y + k =0

                       o x - 1 y + k =0 ...(i)

The equation (i) is Paases through the point ( -3,-2)

                        0 ( -3) -1(-2) + k =0

                               2 + k =0

                                     k = -2

∴The equation of the perpendicular line to the given line  is

     put k = -2 in equation (i)    

                        o x - 1 y + k =0

                      - y +(-2) =0

                       - y = 2

                         y = -2

Final -

∴The equation of the perpendicular line to the given line is  y =-2

i believe the correct answer is b.