Intermediate Geometry : How to find x or y intercept

Study concepts, example questions & explanations for Intermediate Geometry

varsity tutors app store varsity tutors android store

Example Questions

Example Question #11 : How To Find X Or Y Intercept

What is the x-intercept of the line

Possible Answers:

Correct answer:

Explanation:

To determine the x-intercept, plug in  for , since the x-axis is where .

subtract  from both sides

multiply both sides by 

divide both sides by 

The x-intercept is

Example Question #12 : How To Find X Or Y Intercept

What is the x-intercept for the line ?

Possible Answers:

Correct answer:

Explanation:

To find the x-intercept, plug in  for , since the x-axis is where .

add  to both sides

divide both sides by 

Example Question #12 : X And Y Intercept

Find the y-intercept for the line

.

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept, plug in 0 for x, since the y-axis is where x = 0.

subtract 24 from both sides

divide by -3

The y-intercept is

 

 

Example Question #14 : X And Y Intercept

Find the x-intercept for the line

.

Possible Answers:

Correct answer:

Explanation:

To find the x-intercept, plug in 0 for y, since the x-axis is where y = 0

subtract 5 from both sides

multiply both sides by -3

The x-intercept is

Example Question #15 : X And Y Intercept

What is the y intercept of the line :

Possible Answers:

Correct answer:

Explanation:

Here all we have to remember is that when given a linear equation to find the y-intercept, or where the line crosses the y-axis, we just need to set x=0 and solve for y.  This solution is shown below:

Example Question #11 : X And Y Intercept

A rocket is fired that follows the below parabolic path where h(t) represents the height (in feet) over time (in seconds). How much time did the rocket spend in the air? 

Possible Answers:

16 seconds

0 seconds

8 seconds

256 seconds

Correct answer:

16 seconds

Explanation:

To solve, you must find the zeros or x-intercepts for the function h(t). 

To find x-intercepts, we must plug in 0 for h(t). 

Factor to solve - divide by 16t. 

Set both parts equat to zero. 

     

The answer is t=16 because when t=0, that is when the rocket is first being fired from the ground, the rocket then returns to the ground after having spent 16 seconds in the air. 

 

Example Question #13 : How To Find X Or Y Intercept

Find the y-intercept(s) for the circle given by the equation below: 

Possible Answers:

Correct answer:

Explanation:

To find the y-intercept for any equation, plug in 0 for x in the original equation. 

Simplify

Subtract 25 from both sides

Take the square root of both sides

Subtract 2 from both sides to get the y-intercept. 

This circle has one y-intercept. 

It is possible for a circle to have one y-intercept, two y-intercepts or no y-intercepts. 

Example Question #14 : How To Find X Or Y Intercept

Find the x-intercept(s) for the circle defined by

Possible Answers:

Correct answer:

Explanation:

The x-intercepts occur when y is equal to zero. So to figure out the x-intercepts, plug in 0 for y:

subtract 9 from both sides

take the square root of both sides

there are 2 possibilities here since and also

One solution: subtract 1 from both sides

 

The other solution: subtract 1 from both sides

Example Question #11 : How To Find X Or Y Intercept

Find the y-intercept(s) for the equation

Possible Answers:

Correct answer:

Explanation:

The y-intercept occurs when x is 0, so plug in 0 for x:

 

Example Question #13 : How To Find X Or Y Intercept

Find the x- and y-intercepts for the equation

Possible Answers:

Correct answer:

Explanation:

To find the x-intercept, plug in 0 for y:

subtract 5 from both sides

divide both sides by -2

since x is 2.5 and y is 0, this point is

 

To find the y-intercept, plug in 0 for x:

This gives the point

Learning Tools by Varsity Tutors