x = a represent that

equation of line parallel to x-axis

equation of line parallel to y-axis

equation of line parallel to both

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The equation \( x = a \) represents a line that is **parallel to the y-axis**. 

### Explanation:
- When an equation is of the form \( x = a \), it means that for all points on the line, the x-coordinate is constant and equal to \( a \), while the y-coordinate can take any value.
- This results in a vertical line, which is parallel to the y-axis.

### Answer:
**The equation \( x = a \) represents the equation of a line parallel to the y-axis.**

Would you like a more detailed explanation, or do you have any further questions?

### Related Questions:
1. What does the equation \( y = b \) represent in terms of line orientation?
2. How can we determine the slope of a line parallel to the x-axis?
3. What is the slope of a line parallel to the y-axis?
4. How can we find the distance between two parallel lines?
5. What is the general equation of a line in slope-intercept form?

### Tip:
For lines parallel to the y-axis, the slope is undefined because the change in x is zero, leading to division by zero in the slope formula.

x = a represent that equation of line parallel to x-axis, equation of line parallel to y-axis, equation of line parallel to both, None

Explore the concept of lines parallel to the x-axis and y-axis in coordinate geometry. Learn how the equation x = a represents a line parallel to the y-axis with constant x-coordinate. Suitable for Grades 9-10.

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