Question

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​ Help please

Answer 1

D) y = -2

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

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 answer:-

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