Question

Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).

Answer 1

Answer:

x = - 4

Step-by-step explanation:

y = - 8 is the equation of a horizontal line parallel to the x- axis.

A perpendicular line must then be a vertical line parallel to the y- axis.

The equation of a vertical line is x = c

where c is the value of the x- coordinates it passes through.

The line passes through (- 4, - 2) with x- coordinate - 4, thus

x = - 4 ← equation of perpendicular line

Answer 2

Answer:

The line y = -8 is horizontal

The line perpendicular to the line y = -8 is vertical

The equation of the line perpendicular to the line y = -8 through

the point (-4 , -2) is x = -4

Step-by-step explanation: