GED Math : Slope

Study concepts, example questions & explanations for GED Math

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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 #1 : 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 #2 : 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 #3 : 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 #4 : 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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