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

Question

Responses

y=1
y is equal to 1

y=x
y is equal to x

x=1
x is equal to 1

x=−y
x is equal to negative y

Answer 1

The line that is perpendicular to the x-axis is the vertical line described by the equation \( x = 1 \).

To clarify:

• The x-axis is a horizontal line, and a line that is perpendicular to it must be vertical.
• The lines \( y = 1 \) and \( y = x \) are not vertical; the line \( y = 1 \) is horizontal and \( y = x \) has a slope of 1.
• The line \( x = -y \) is also not vertical; it has a slope of -1.

So, the correct answer is:

x = 1