# GED Math : Slope

## Example Questions

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### Example Question #1 : Slope

Which of the following equations has as its graph a line with slope  ?

Possible Answers:

Correct answer:

Explanation:

For each equation, solve for  and express in the slope-intercept form . The coefficient of  will be the slope.

is graphed by a line with slope  and is the correct choice.

### Example Question #2 : Slope

Find the slope of .

Possible Answers:

Correct answer:

Explanation:

The equation given should be written in slope-intercept form, or  format.

The  in the slope-intercept equation represents the slope.

Add  on both sides of the equation.

Divide by two on both sides of the equation to isolate y.

Therefore, the slope is 1.

### Example Question #3 : Slope

Determine the slope, given the points  and .

Possible Answers:

Correct answer:

Explanation:

Write the formula for the slope.

We can select any point to be  and vice versa.

The answer is:

### Example Question #4 : Slope

Find the slope of the equation:

Possible Answers:

Correct answer:

Explanation:

We will need to group the x variables on one side of the equation and the y-variable on the other.

Add  on both sides.

Add  on both sides.

Divide both sides by 9.

The slope is .

### Example Question #5 : Slope

What is the slope of the following line?

Possible Answers:

Correct answer:

Explanation:

To find the slope, rewrite the equation in slope intercept form.

Add  on both sides.

This is the same as:

This means that the slope is .

The answer is:

### Example Question #6 : Slope

What is the slope of the following equation?

Possible Answers:

Correct answer:

Explanation:

Simplify the equation so that it is in slope-intercept format.

The simplified equation is:

The slope is:

### Example Question #7 : Slope

What is the slope between the points  and ?

Possible Answers:

Correct answer:

Explanation:

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

### Example Question #8 : Slope

What is the slope of the line defined as ?

Possible Answers:

Correct answer:

Explanation:

There are two ways that you can do a problem like this.  First you could calculate the slope from two points.  You would do this by first choosing two values and then using the slope formula, namely:

This could take some time, however.  You could also solve it by using the slope intercept form of the equation, which is:

If you get your equation into this form, you just need to look at the coefficient .  This will give you all that you need for knowing the slope.

Your equation is:

What you need to do is isolate :

Notice that this is the same as:

The next operation confuses some folks.  However, it is very simple.  Just divide everything by .  This gives you:

You do not need to do anything else.  The slope is .

### Example Question #9 : Slope

Find the slope of the equation:

Possible Answers:

Correct answer:

Explanation:

To determine the slope, we will need the equation in slope-intercept form.

Subtract  from both sides.

Divide by negative three on both sides.

The slope is:

### Example Question #10 : Slope

What is the slope of the line perpendicular to the line running between the points  and ?

Possible Answers:

Correct answer:

Explanation:

Recall that slope is calculated as:

This could be represented, using your two points, as:

Based on your data, this would be:

Remember, the question asks for the slope that is perpendicular to this slope! Don't forget this point! The perpendicular slope is opposite and reciprocal.

Therefore, it is:

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