Which equation represents a line which is perpendicular to x, equals, 0x=0?

The equation \( x = 0 \) represents a vertical line passing through the origin on the coordinate plane, where the value of \( x \) is always 0. 

To find a line that is perpendicular to \( x = 0 \), we need to consider the fact that a line perpendicular to a vertical line will be a horizontal line. Horizontal lines have the form \( y = c \), where \( c \) is a constant.

So, the equation of a line perpendicular to \( x = 0 \) is:

\[
y = c
\]

where \( c \) can be any constant. For instance, if \( c = 0 \), the line would be \( y = 0 \), which is the x-axis.

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Would you like more details or have any questions?

Here are 5 related questions:

1. What is the slope of a vertical line like \( x = 0 \)?
2. How do you determine the slope of a line that is perpendicular to another line?
3. Can a line be perpendicular to itself? Why or why not?
4. What is the equation of a line that is parallel to \( x = 0 \)?
5. How do horizontal and vertical lines differ in terms of their equations?

**Tip:** A vertical line has an undefined slope, while a horizontal line has a slope of 0.

Which equation represents a line which is perpendicular to x=0?

Explore how to find the equation of a line that is perpendicular to x=0, covering key geometry concepts of vertical and horizontal lines. Learn the properties of perpendicular lines and their equations. Ideal for students in Grades 8-10.

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