Respuesta :

Answer:

B

Step-by-step explanation:

y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

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

The line passes through (- 6, - 9) with x- coordinate - 6, thus

x = - 6 ← is the equation of the perpendicular line