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.