X-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 x-intercept of a graph is the point where the graph crosses the x-axis. At this point, the value of y is zero. The x-intercept can be expressed as a coordinate in the form (x, 0).
Key Features:
Finding the X-Intercept: To find the x-intercept of a linear equation, set y = 0 and solve for x.
Graphical Representation: The x-intercept indicates where the function has a value of zero, which can be important in determining the behavior of the graph.
Multiple Intercepts: A graph can have one, none, or multiple x-intercepts depending on the type of function.
Example:
For the equation y = 2x - 4, setting y = 0 gives:
0 = 2x - 4 → 2x = 4 → x = 2
Thus, the x-intercept is (2, 0).