# Intermediate Geometry : How to find x or y intercept

## Example Questions

### Example Question #71 : How To Find X Or Y Intercept

What is the y-intercept of the line that has the equation ?

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #72 : How To Find X Or Y Intercept

What is the y-intercept of the line that has the equation ?

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #73 : How To Find X Or Y Intercept

Find the y-intercept of the line that has the equation .

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #74 : How To Find X Or Y Intercept

What is the y-intercept of a line that has the equation ?

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #75 : How To Find X Or Y Intercept

What is the y-intercept of a line that has the equation ?

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #76 : How To Find X Or Y Intercept

What is the y-intercept of the line with the equation?

Explanation:

You should recognize that the given equation is in the point-slope form.

In order to find the y-intercept, rearrange the equation into slope-intercept form, .

Since, , the y-intercept must be located at .

### Example Question #77 : How To Find X Or Y Intercept

True or false: The lines of the equations

and

have the same -intercept.

False

True

False

Explanation:

The -intercept of a line is the point at which it intersects the -axis; its -coordinate at this point is 0, so its -coordinate can be found by substituting 0 for  in the equation and solving for . Do this with both equations:

The -intercept of the line is at .

The -intercept of the line is at .

The two lines have different -intercepts.

### Example Question #77 : How To Find X Or Y Intercept

True or false: the lines of the equations

and

have the same -intercept.

True

False

True

Explanation:

The -intercept of a line is the point at which it intersects the -axis; its -coordinate at this point is 0.

The -coordinate of the line of the equation

can be found by substituting 0 for  in the equation and solving for :

The -intercept of this line is at .

The line with equation is a horizontal line with its -intercept at , so the -intercept line of the equation has its -intercept at as well.

Both lines indeed have the same -intercept.

### Example Question #79 : How To Find X Or Y Intercept

True or false:

The lines of the equations

and

have the same -intercept.

True

False

True

Explanation:

Both equations are given in the slope-intercept form , in which the stand-alone constant  is the -coordinate of the -intercept. In both equations, this value is 117, so  is the -intercept of both equations.

### Example Question #78 : How To Find X Or Y Intercept

Find the y-intercept of a line that has a slope of  and passes through the point .