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X-Intercept
Definition Of X-Intercept
The x-intercept of a line is the point at which the line crosses the x-axis.
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
As the line shown in the graph is intersecting the x-axis at the point (-3, 0), so the x-intercept of the line is -3.
Video Examples: Finding the X Intercept
Solved Example on X-Intercept
Ques: 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-intercept of a line is the point at which the line crosses the x-axis
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
