SAT II Math II : Slope

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

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Example Question #34 : Functions And Graphs

What is the slopeof the line between the points (-1,0)  and (3,5)?

Possible Answers:

Correct answer:

Explanation:

For this problem we will need to use the slope equation:

In our case  and 

Therefore, our slope equation would read:

Example Question #39 : Functions And Graphs

What is the slope of the function 

Possible Answers:

6

4

2

3

Correct answer:

2

Explanation:

To find the slope of this function we first need to get it into slope-intercept form

 where 

To do this we need to divide the function by 3:

From here we can see our m, which is our slope equals 2

Example Question #35 : Functions And Graphs

What is the slope for the line having the following points: (1, 5), (2, 8), and (3, 11)?

Possible Answers:

2

3

4

5

Correct answer:

3

Explanation:

To find the slope for the line that has these points we will use the slope formula with two of the points.

In our case  and 

Now we can use the slope formula:

Example Question #1 : Slope

What is the slope of the function:

Possible Answers:

4

2

3

8

Correct answer:

4

Explanation:

For this question we need to get the function into slope intercept form first which is

 where the m equals our slope.

In our case we need to do algebraic opperations to get it into the desired form

Therefore our slope is 4

Example Question #2 : Slope

Find the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First subtract 2x from both sides:

                

That gives us the following:

Divide all three terms by three to get "y" by itself:

This means our "m" is -2/3

Example Question #3 : Slope

Find the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

First add x to both sides:

                

That gives us the following:

Divide all three terms by four to get "y" by itself:

This means our "m" is 1/4

Example Question #4 : Slope

Find the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

Our equation is already in the "y=mx+b" format, so our "m" is 6.

Example Question #5 : Slope

Find the slope of the following equation:

Possible Answers:

Correct answer:

Explanation:

To find the slope for a given equation, it needs to first be put into the "y=mx+b" format. Then our slope is the number in front of the x, or the "m". For this equation this looks as follows:

To put our equation in the "y=mx+b" format, flip the two terms on the right side of the equation:

So our "m" in this case is -2.

Example Question #6 : Slope

Find the slope given the equation:   

Possible Answers:

Correct answer:

Explanation:

Subtract  on both sides.

Simplify both sides.

Divide by negative 6 on both sides.

The slope is:  

Example Question #7 : Slope

Find the slope of the equation:  

Possible Answers:

Correct answer:

Explanation:

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

Multiply by four on both sides to eliminate the fraction.

Add  on both sides.

Combine like-terms.

Divide by nine on both sides.

The value of , or the slope, is .

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