# GED Math : Slope-Intercept Form

## Example Questions

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### Example Question #1 : Linear Algebra

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

Explanation:

Slope-intercept form is written as .

There is only one answer choice in this form:

### Example Question #1 : Slope Intercept Form

Rewrite the following equation in slope-intercept form.

Explanation:

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 #1 : Slope Intercept Form

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

Explanation:

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:

Explanation:

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:

Explanation:

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 #6 : Slope Intercept Form

What is the equation of the line between  and ?

Explanation:

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:

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

### Example Question #7 : Slope Intercept Form

Which of the following equations has a slope of ?

Explanation:

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.

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 #2 : Linear Algebra

Rewrite the equation in slope-intercept form:

Explanation:

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.

### Example Question #9 : Slope Intercept Form

Write the equation in slope-intercept form:

Explanation:

The slope-intercept form is:

Subtract  on both sides.

Divide by negative six on both sides.

Simplify both sides.

### Example Question #1 : Linear Algebra

Write the equation in slope-intercept form:

Explanation:

Slope intercept form is .

Multiply by three on both sides.