Y AXIS
Definition Of Y-Axis
The Coordinate plane is formed by the intersection of two number lines, a horizontal number line and a vertical number line. The vertical number line is called the y-axis.
Examples of Y 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 Y-Axis
Ques: Which of the following graphs has a point P on the y-axis?
Choices:
A. Graph 1
B. Graph 2
Correct Answer: A
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 vertical number line is called the y-axis
Step 2: Graph 1 has the point P on the vertical number line i.e., on the y-axis.
Ques: Which of the following points lie on y-axis?
Choices:
A. (1, 0)
B. (-1, -1)
C. (0, 1)
D. (1, 1)
Correct Answer: C
Solution:
Step 1: We know that, the ordinate of a point on the y-axis is equal to zero
Step 2: So, point (0,1) lies on y-axis.
Quick Summary
- The y-axis is the vertical line in a coordinate plane.
- Points on the y-axis have an x-coordinate of 0.
- The y-axis intersects the x-axis at the origin (0,0).
⚠️ Common Mistakes
- Confusing the x and y axes.
- Assuming all points have non-zero coordinates on the y-axis.
🌍 Real-World Uses
- Representing the height of a building in architectural plans.
- Charting stock prices over time, where the y-axis indicates the price.
- Displaying temperature variations on a graph, with the y-axis showing temperature values.
📋 Standards Alignment
CCSS.MATH.CONTENT.6.NS.C.6CCSS.MATH.CONTENT.6.G.A.3
🔗 Related Links
🍎 Teacher Insights
Use visual aids and real-world examples, like graphs of height over time, to illustrate the concept of the y-axis. Emphasize the relationship between points on the y-axis and their coordinates.🎓 Prerequisites
- Number lines
- Coordinate Plane
- X-Axis
Check Your Knowledge
Q1: Which of the following points lies on the y-axis?
Q2: What is the x-coordinate of any point on the y-axis?
Frequently Asked Questions
Q: What is the origin?
A: The origin is the point where the x and y axes intersect, represented by the coordinates (0,0).
Q: How do I identify a point on the y-axis?
A: A point lies on the y-axis if its x-coordinate is 0. For example, (0, 5) lies on the y-axis.