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Y-intercept
See It in Action
Two examples of the idea done right—and one common look-alike that is not right.
EXAMPLE
EXAMPLE
NON-EXAMPLE
Definition
The y-intercept of a graph is the point where the graph crosses the y-axis. At this point, the value of x is zero. The y-intercept can be expressed as a coordinate in the form (0, y).
Key Features:
Finding the Y-Intercept: To determine the y-intercept of a linear equation, set x = 0 and solve for y.
Graphical Representation: The y-intercept indicates the value of the function when the input is zero, providing insight into the graph's behavior.
Multiple Intercepts: A graph can have one or none y-intercepts, depending on the type of function.
Example:
For the equation y = 3x + 2, setting x = 0 gives:
y = 3(0) + 2 → y = 2
Thus, the y-intercept is (0, 2).
Video
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