**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__