# GED Math : X-intercept and y-intercept

## Example Questions

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### Example Question #31 : Coordinate Geometry

Which of the following equations has as its graph a line with -intercept 9?

Explanation:

The equation in which  when  is graphed by a line that includes point  - that is, its -intercept is 9. Therefore, substitute 0 for  in each equation and solve for

The correct choice is , since  is a solution of this equation.

### Example Question #32 : Coordinate Geometry

Which of the following equations has as its graph a line with -intercept ?

Explanation:

The equation in which  when  is graphed by a line that includes point  - that is, its -intercept is . Therefore, substitute 0 for  in each equation and solve for

The correct choice is , since  is a solution of this equation.

### Example Question #33 : Coordinate Geometry

Find the  and -intercepts of the following equation:

Explanation:

To find the , we need to set  equal to 0 in our equation:

Now solve for :

To find the , we need to set  equal to 0 in our equation:

Now solve for :

### Example Question #37 : Coordinate Geometry

Find the  and -intercepts for the following equation:

Explanation:

To find the , set the  equal to 0:

Then solve for :

To find the , set the  equal to 0:

Then solve for :

### Example Question #1 : X Intercept And Y Intercept

Find the  and -intercepts for the following equation:

Explanation:

To find the , set  equal to 0:

Then solve:

Remember, the square root of  is both  and

To find the, set  equal to 0:

Then solve:

### Example Question #2 : X Intercept And Y Intercept

Given the following equation, what is the x-intercept?

Explanation:

The x-intercept is the value of  when .

Substitute the value into the equation and solve for .

Subtract 6 on both sides.

Divide by 3 on both sides.

### Example Question #3 : X Intercept And Y Intercept

What is the y-intercept of the following equation?

Explanation:

The y-intercept is the value of  when .

Substitute zero for x.

Subtract 1 on both sides.

Divide by 4 on both sides.

### Example Question #4 : X Intercept And Y Intercept

What is the y-intercept of the following line:

Explanation:

To find the y-intercept, we will look at the slope-intercept form of a line:

where m is the slope and b is the y-intercept.

So, given the equation

we can see the y-intercept is -11. Note that we must include the negative sign.

### Example Question #5 : X Intercept And Y Intercept

What is the y-intercept of the following equation?

Explanation:

The y-intercept is the value of  when .

Substitute  into the equation.

Divide by 2 on both sides.

### Example Question #6 : X Intercept And Y Intercept

If the x-intercept is 4, and the y-intercept is 2, what must be the slope?

Explanation:

We can obtain two known points from using the intercepts.  The y-intercept is when , and x-intercept is when .

The points are:

Write the formula for the slope.