X AXIS
Definition Of X-Axis
The coordinate plane is formed by the intersection of two number lines, a horizontal number line and a vertical number line. The horizontal number line is called the x-axis.
More About X-Axis
The equation of x-axis is y = 0
The y-coordinate or ordinate of every point on x-axis is equal to 0
Examples of X-Axis
The figure shows the coordinate plane formed by the intersection of the x- and y- axes.
Their point of intersection is called the origin.
Video Examples: Where Does a Line Cross the X or Y Axis
Solved Examples on X-Axis
Ques: Which of the following graphs has a point P on the x-axis?
Choices:
A. Graph 1
B. Graph 2
Correct Answer: B
Solution:
Step 1: The coordinate plane is formed by the intersection of two number lines, a horizontal number line and a vertical number line. The horizontal number line is called the x-axis
Step 2: Graph 2 has the point P on the horizontal line i.e., on the x-axis.
Ques: Which of the following points lie on x-axis?
Choices:
A. (1, 1)
B. (1, 0)
C. (0, 1)
D. (-1, -1)
Correct Answer: B
Solution:
Step 1: We know that, y-coordinate or ordinate of every point on x-axis is equal to 0
Step 2: Therefore, among the ordered pairs given (1, 0) lies on x-axis
Quick Summary
- The x-axis is a horizontal line.
- The equation of the x-axis is y = 0.
- Any point on the x-axis has a y-coordinate of 0.
🍎 Teacher Insights
Emphasize the visual representation of the x-axis on the coordinate plane. Use real-world examples to illustrate its importance, such as mapping locations on a grid.🎓 Prerequisites
- Number lines
- Coordinate plane
- Ordered pairs
Check Your Knowledge
Q1: Which of the following points lies on the x-axis?
Q2: What is the equation of the x-axis?
Frequently Asked Questions
Q: What is the origin?
A: The origin is the point where the x-axis and y-axis intersect. Its coordinates are (0, 0).
Q: How do I find a point on the x-axis?
A: A point lies on the x-axis if its y-coordinate is 0. For example, (3, 0) is on the x-axis.