x-intercept
Definition of x-intercept
- The x-coordinate of the point where a line intersects the x-axis is the x-intercept of that line.
More about x-intercept
- The y-coordinate of the point where a line intersects the x-axis is 0.
So, the x-intercept of a line can also be found by substituting y = 0 in the equation of the line.
Examples of x-intercept
The x-intercept of the line shown is – 3.
Solved Example on x-intercept
Find the x-intercept of the graph of 4x + 8y = 40.
Choices:
A. - 5
B. 10
C. 5
D. - 10
Correct Answer: B
Solution:
Step 1: The x-coordinate of the point where a line intersects the x-axis is the x-intercept of that line.
Step 2: Substitute y = 0 in the given equation to find the x-intercept of the graph of the equation.
Step 3: 4x + 8(0) = 40 gives x = 10.
Step 4: So, the x-intercept of the graph is 10.
Related Terms for x-intercept
- x-axis
- x-coordinate
- Line
- Point
Additional Links for x-intercept
