Find The X Intercept For

Introduction to x intercept:
In coordinate geometry, the x-intercept is defined as a point at which the line intercepts or touches the x-axis of the coordinate system. The x intercept of a line can be found by plugging y = 0 in the line equation. The x intercept of a line is denoted as (x, 0).

The example and practice problems are given below which helps you to find the x intercept of the line equation.


Example problems to find the x intercept:


Example 1:

Find the x intercept for the line equation y = 7x +3

Solution:

Step 1: Given equation

y = 7x + 3

Step 2: To find x intercept of the equation y = 7x + 3, plug y = 0 in the above equation and solve for x

0 = 7x + 3

Subtract 3 on both sides, we get

-  3 = 7x

Divide by 7 on both sides, we get

- `3/7` = x

On rearranging, we get

x = -`3/7`

Step 3: Solution

x intercept of the equation y = 7x + 3 is (- `3/7` , 0)

Example 2:

Find the x intercept for the linear equation  3x + y = 6

Solution:

Step 1: Given equation

3x + y = 6

Step 2: To find x intercept of the equation 3x + y = 6, plug y = 0 in the above equation and solve for x

3x + y  = 6

3x + 0 = 6

3x = 6

Divide by 3 on both sides, we get

x =2

Step 3: Solution

x intercept of the equation 3x + y = 6 is (2, 0)

Example 3:

Find the x intercept for the line equation y = `2/3` x - 2

Solution:

Step 1: Given equation

y = `2/3` x - 2

Step 2: To find x intercept of the equation y = `2/3` x - 2, plug y = 0 in the above equation and solve for x

0 = `2/3` x - 2

Add 2 on both sides, we get

2  = `2/3` x

Multiply by 3 on both sides, we get

6 = 2x

Divide by 2 on both sides, we get

3 = x

On rearranging, we get

x = 3

Step 3: Solution

x intercept of the equation y = `2/3` x - 2 is (3, 0)

Practice problems to find the x intercept:


1) Find the x intercept for the line equation x + 2y = 6

2) Find the x intercept for the linear equation 3x - 9y = 7

3) Find the x intercept for the equation 2y = 3x - 9

Solutions:

1) x intercept of the equation x + 2y = 6 is (6, 0)

2) x intercept of the equation  3x - 9y = 7 is (7/3, 0)

3) x intercept of the equation 2y = 3x - 9 is (3, 0)