Question

Select the correct answer.Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?A. x = -9B. X=-6C. y=-9D. y=-4

Answer 1

B

Explanation:

y =
`(1)/(4)` is the equation of a horizontal line, parallel to the x- axis and passing through all points with a y- coordinate of
`(1)/(4)`

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

x = c ( 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

Answer 2

SOLUTIONS

Step-by-step explanation:

y = 1/4 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 equation

x = - 6 →

Option B