### All GED Math Resources

## Example Questions

### Example Question #1 : Linear Algebra

Which of the following equations is written in slope-intercept form?

**Possible Answers:**

**Correct answer:**

Slope-intercept form is written as .

There is only one answer choice in this form:

### Example Question #2 : Linear Algebra

Rewrite the following equation in slope-intercept form.

**Possible Answers:**

**Correct answer:**

The slope-intercept form of a line is: , where is the slope and is the y intercept.

Below are the steps to get the equation into slope-intercept form.

### Example Question #3 : Linear Algebra

Refer to the above red line. What is its equation in slope-intercept form?

**Possible Answers:**

**Correct answer:**

First, we need to find the slope of the above line.

Given two points, , the slope can be calculated using the following formula:

Set :

Second, we note that the -intercept is the point .

Therefore, in the slope-intercept form of a line, we can set and :

### Example Question #4 : Slope Intercept Form

What is the y-intercept of the line with the following equation:

**Possible Answers:**

**Correct answer:**

There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for :

Just divide everything by :

Remember that the slope-intercept form gives you the intercept as the final constant. Hence, it is as well!

### Example Question #5 : Slope Intercept Form

What is the y-intercept for the following equation:

**Possible Answers:**

**Correct answer:**

There are two ways that you can find the y-intercept for an equation. You could substitute in for . This would give you:

Simplifying, you get:

However, another way to do this is by finding the slope-intercept form of the line. You do this by solving for . Indeed, this is very, very easy. Recall that the slope intercept form is:

This means that, as written, your equation obviously has . You don't even have to do all of the simplification!

### Example Question #4 : Linear Algebra

What is the equation of the line between and ?

**Possible Answers:**

**Correct answer:**

In order to figure this out, you should use your slope-intercept formula. Remember that the y-intercept is the place where is zero. Therefore, the point gives you your y-intercept. It is . Now, to find the slope, recall the slope equation, namely:

For your points, this would be:

This is your slope.

Now, recall that the point-slope form of an equation is:

, where is your slope and is your y-intercept

Thus, your equation will be:

### Example Question #7 : Slope Intercept Form

Which of the following equations has a slope of ?

**Possible Answers:**

**Correct answer:**

In order to compute the slope of a line, there are several tools you can use. For this question, try to use the slope-intercept form of a line. Once you get the equation into this form, you basically can "read off" the slope right from the equation! Recall that the slope-intercept form of an equation is:

Now, looking at each of your options, you know that you can eliminate two immediately, as their slopes *obviously* are not :

The next is almost as easy:

When you solve for , your coefficient value for is definitely *not* equal to :

Next, is not correct either. When you start to solve, you should notice that will always have a negative coefficient. This means that it certainly will not become when you finish out the simplification.

Thus, the correct answer is:

Really, all you have to pay attention to is the term. First, you will subtract from both sides:

Then, just divide by , and you will have !

### Example Question #8 : Slope Intercept Form

Rewrite the equation in slope-intercept form:

**Possible Answers:**

**Correct answer:**

In order to rewrite the equation in slope-intercept form, we will need to multiply the reciprocal of the coefficient in front of y.

Simplify both sides.

The answer is:

### Example Question #9 : Slope Intercept Form

Write the equation in slope-intercept form:

**Possible Answers:**

**Correct answer:**

The slope-intercept form is:

Subtract on both sides.

Divide by negative six on both sides.

Simplify both sides.

The answer is:

### Example Question #10 : Slope Intercept Form

Write the equation in slope-intercept form:

**Possible Answers:**

**Correct answer:**

Slope intercept form is .

Add on both sides.

Multiply by three on both sides.

The answer is: