Which of the following lines is perpendicular to the x-axis?(1 point)

Question

Responses

y=1
y
=
1
y is equal to 1

y=x
y
=
x
y is equal to x

x=1
x
=
1
x is equal to 1

x=−y

Answer 1

The line that is perpendicular to the x-axis is the line that is vertical.

Among the options provided, the line \( x = 1 \) is the correct answer. This line is vertical and runs parallel to the y-axis, which makes it perpendicular to the x-axis.

Here are the responses for clarification:

• \( y = 1 \): This is a horizontal line (not perpendicular to the x-axis).
• \( y = x \): This is a diagonal line with a slope of 1 (not perpendicular to the x-axis).
• \( x = 1 \): This is a vertical line (perpendicular to the x-axis).
• \( x = -y \): This is also a diagonal line but has a slope of -1 (not perpendicular to the x-axis).

So, the answer is: x = 1