# Intermediate Geometry : How to find x or y intercept

## Example Questions

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

What is the x-intercept of the line

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 ?

Explanation:

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

divide both sides by

### Example Question #12 : X And Y Intercept

Find the y-intercept for the line

.

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

.

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 :

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?

16 seconds

0 seconds

8 seconds

256 seconds

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:

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

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

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

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