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