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