Intermediate Geometry : How to find x or y intercept

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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

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

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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 .

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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 ?

Possible Answers:

Correct answer:

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? 

Possible Answers:

Correct answer:

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.

Possible Answers:

False

True

Correct answer:

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.

Possible Answers:

True

False

Correct answer:

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.

Possible Answers:

True

False

Correct answer:

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 .

Possible Answers:

Correct answer:

Explanation:

Recall the point-slope form of the equation of a line that has a slope of  and passes through the point :

Plug in the given point and the given slope.

Rearrange the equation into slope-intercept form.

The y-intercept for this line is .

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