GRE Subject Test: Math : Slope & Intercept

Study concepts, example questions & explanations for GRE Subject Test: Math

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Example Questions

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Example Question #1 : Slope & Intercept

What is the slope and y-intercept of this line: ?

Possible Answers:

Correct answer:

Explanation:

Step 1: Move the y-term to the other side. We will add 4y.




Step 2: Move the constant to the other side. We will subtract 12.




Step 3: Divide by the coefficient in front of the y term. In this question, we divide all terms by 4. 





Step 4: Identify the slope and the y-intercept. The slope is the number that is in front of the x term, and the y-intercept is the number that comes after the x-term.

In this question, the slope is  and the y-intercept is

Example Question #2 : Slope & Intercept

Find the slope of a line that passes through points  and .

Possible Answers:

Slope is undefined.

Correct answer:

Explanation:

The formula for slope is:

When the y coordinates are the same, as in this case both were -1, this would form a horizontal line.  The slope of a horizontal line is zero.

Example Question #3 : Slope & Intercept

Find the slope of a line that passes through points  and 

Possible Answers:

Slope is undefined.

Correct answer:

Slope is undefined.

Explanation:

The formula for slope is:

Slope is undefined.

If the x coordinates are the same, as in this problem both x coordinates are 4, then this will be a vertical line.  The slope of a vertical line is undefined.

Example Question #4 : Slope & Intercept

Find the slope of a line that passes through points  and 

Possible Answers:

Slope is undefined.

Correct answer:

Explanation:

The formula for slope is:

Example Question #5 : Slope & Intercept

What is the slope and y-intercept of the following equation?

Possible Answers:

 and 

 and 

 and  

 and 

Correct answer:

 and 

Explanation:

Subtract  from both sides of the equation.

Write equation in the form of   .

 ( represents the y-intercept)

 

Example Question #6 : Slope & Intercept

What is the slope () and the y-intercept  of the equation

Possible Answers:

  and 

  and 

  and 

  and 

Correct answer:

  and 

Explanation:

The formula to find slope and y-intercept is:

 and 

 

Example Question #7 : Slope & Intercept

What is the slope and the y-intercept  of the equation

Possible Answers:

 and

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

The formula to find slope and y-intercept is:

Combine like terms.

 and 

Example Question #8 : Slope & Intercept

The points given lie on a line. Find the slope.

     

       

Possible Answers:

Correct answer:

Explanation:

slope   = 

rise  =   changes in y 

run  =   changes in x

     

       

The change in the  coordinates is that the numbers are decreasing by 3 or -3.

The change in the  coordinates is that the numbers are increasing by 2 or +2;

slope = 

Example Question #9 : Slope & Intercept

The points given lie on a line.  Find the slope.

 

     

       

Possible Answers:

Correct answer:

Explanation:

 slope  = 

rise  =   changes in y 

run  =   changes in x

     

       

 

The change in the  coordinates is that the numbers are increasing by 3 or +3.

The change in the  coordinates is that the numbers are increasing by 4 or +4.

slope = 

Example Question #32 : Coordinate Geometry

The points given lie on a line. Find the slope.

        

       

Possible Answers:

Slope is undefined.

Correct answer:

Explanation:

slope =  

rise  =   changes in y 

run  =   changes in x

 

        

       

There is zero change in the  coordinates.

The change in the  coordinates is that the numbers are increasing by 2 or +2.

slope = 

If the   coordinates are the same, then it will be a horizontal line.  The slope of a horizontal line is 0.

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