Y INTERCEPT
Definition Of Y-Intercept
The y-coordinate of the point where a line intersects the y-axis is the y-intercept of that line.
More About Y-Intercept
The x-coordinate of the point where a line intersects the y-axis is 0. So, the y-intercept of a line can also be found by substituting x = 0 in the equation of the line.
Examples of Y-Intercept
The y-intercept of the line shown is -6.
Video Examples: Graphing Linear Functions by Finding X,Y Intercept
Solved Examples on Y-Intercept
Ques: Find the y-intercept of the line shown in the graph.
Choices:
A. - 3
B. 0
C. 3
D. 1
Correct Answer: A
Solution:
Step 1: The y-coordinate of the point where a line intersects the y-axis is the y-intercept of that line.
Step 2: The graph of the line crosses the y-axis at (0, - 3).
Step 3: So, the y-intercept of the line is - 3.
Quick Summary
- The y-intercept is the point where the line crosses the y-axis.
- At the y-intercept, the x-coordinate is always 0.
- The y-intercept can be found by substituting x=0 into the equation of the line.
🍎 Teacher Insights
Use visual aids like graphs to help students understand the concept. Emphasize the importance of x=0 at the y-intercept. Provide plenty of practice problems.🎓 Prerequisites
- Coordinate Plane
- Linear Equations
- Slope
Check Your Knowledge
Q1: What is the y-intercept of the line y = 2x + 3?
Q2: A line passes through the points (0, 5) and (2, 9). What is the y-intercept?
Frequently Asked Questions
Q: How do I find the y-intercept from a graph?
A: Look for the point where the line crosses the y-axis. The y-coordinate of that point is the y-intercept.
Q: How do I find the y-intercept from an equation?
A: Substitute x=0 into the equation and solve for y. The resulting y-value is the y-intercept.