SAT II Math I : Slope

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

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Example Questions

Example Question #1 : Slope

What is the slope of the line depicted by this equation?

Possible Answers:

Correct answer:

Explanation:

This equation is written in standard form, that is, where the slope is equal to .

In this instance and

This question can also be solved by converting the slope-intercept form: .

Example Question #2 : Slope

Find the slope of the line

Possible Answers:

Correct answer:

Explanation:

To find the slope of any line, we must get the equation into the form

where m is the slope and b is the y-intercept.

To manipulate our equation into this form, we must solve for y. First, we must move the x term to the right side of our equation by subtracting it from both sides.

To isolate y, we now must divide each side by 3.

Now our equation is in the desired form. The coefficient of our x term is our slope, . Therefore

 

Example Question #3 : Slope

What is the slope of the function above?

Possible Answers:

Correct answer:

Explanation:

First you must get the formula into slope-intercept form which means having  by itself,

 where  is the slope.  

You must multiple both sides by  to get,

.  

The slope is the value being multiplied by the  variable, so our slope is .

Example Question #4 : Slope

Find the slope of the following equation:  

Possible Answers:

Correct answer:

Explanation:

In order to find the slope, we will need to rearrange the equation so that it is in slope-intercept form .

Subtract  on both sides.

Divide by three on both sides.

This equation is now in the form of , where  is the slope.

The slope is .

Example Question #5 : Slope

What is the slope of the following equation?  

Possible Answers:

Correct answer:

Explanation:

The given equation will need to be rewritten in slope intercept format.

Divide by two on both sides.

Rearrange the right side by order of powers.

The slope can be seen as 

The answer is:  

Example Question #6 : Slope

What is the slope of the given equation?  

Possible Answers:

Correct answer:

Explanation:

The slope in a linear equation is defined as .

The x-variable exists in the denominator, which refers to the parent function of:

This function is not linear, and will have changing slope along its domain.

The answer is:  

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