Question

Which equation represents a line which is

perpendicular to the x-axis?
Answer
○ y=x+4
0 x = 4y
○ y = 4
O
= 8
X =
Submit
Answer

Answer 1

x = 8

Explanation:

A line perpendicular to the x- axis is a vertical line and is parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

From the given list the only equation in this form is

x = 8

Answer 2

x = 8

Explanation:

The definition of perpendicular means a line which will create a 90 degree angle. We know that the x-axis is a horizontal line and we know that x = 0. Due to this, we can say that anything perpendicular to the x-axis has to be on the x-axis or y = 0.

It will not work for the y-axis unless y = 0 because it does not create a perpendicular line. Due to this, we know that y = x + 4, x = 4y, and y = 4 either create a diagonal or horizontal line. We need a vertical line so x = 8 would work.

Since it is perpendicular, x = 8 is our answer.