Question

Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?

A.
x = -9
B.
x = -6
C.
y = -9
D.
y = -4

Answer 1

B

Explanation:

y =
`(1)/(4)` is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it then must 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 , then

x = - 6 ← equation of perpendicular line