High School Math : How to find x or y intercept

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #1471 : High School Math

What is the y-intercept of the following line: 

 ? 

Possible Answers:

Correct answer:

Explanation:

The y-intercept is precisely the point in which the x-value is . Thus, we plug in  to our equation and solve for 

Thus our intercept is 

Example Question #1471 : High School Math

What is the -intercept of the equation?

Possible Answers:

Correct answer:

Explanation:

To find the x-intercept of an equation, set the  value equal to zero and solve for .

Subtract  from both sides.

Divide both sides by .

Since the x-intercept is a point, we will write our answer in point notation: .

Example Question #81 : Algebra I

Find the -intercept of

Possible Answers:

Correct answer:

Explanation:

Put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

-5y = 3x + 10

y = (-3/5)x + 10/(-5)

 

Now we can easily see that is the -intercept. 

Example Question #21 : How To Find X Or Y Intercept

A straight line passes through the points  and .

What is the -intercept of this line?

Possible Answers:

Correct answer:

Explanation:

First calculate the slope:

The standard equation for a line is  .

In this equation, is the slope of the line, and is the -intercept. All points on the line must fit this equation. Plug in either point (1,3) or (2,2).

Plugging in (1,3) we get .

Therefore, .

Our equation for the line is now:

To find the -intercept, we plug in :

 

 

Thus, the -intercept the point (4,0).

Example Question #91 : Coordinate Geometry

Calculate the y-intercept of the line depicted by the equation below.

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, let  equal 0.

We can then solve for the value of .

The y-intercept will be .

Example Question #21 : How To Find X Or Y Intercept

What is the x-intercept of ?

Possible Answers:

Correct answer:

Explanation:

To find the x-intercept, set y equal to zero and solve:

Subtract  from both sides:

Divide both sides by  to isolate x:

Example Question #94 : Coordinate Geometry

What is the y-intercept of the equation?

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, we set the  value equal to zero and solve for the value.

Since the y-intercept is a point, we will need to convert our answer to point notation.

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