### All Intermediate Geometry Resources

## Example Questions

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

What is the x-intercept of the line

**Possible Answers:**

**Correct answer:**

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:**

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:**

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:**

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:**

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

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:**

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:**

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:**

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:**

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

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