GMAT Math : Calculating the slope of a perpendicular line
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Example Questions
Example Question #1 : Calculating The Slope Of A Perpendicular Line
What is the slope of the line perpendicular to 
Perpendicular lines have slopes that are negative reciprocals of each other. Therefore, rewrite the equation in slope intercept form 
Slope of given line:
Negative reciprocal:
Example Question #2 : Calculating The Slope Of A Perpendicular Line
Line 1 is the line of the equation 
Rewrite in slope-intercept form:
The slope of the line is the coefficient of 
Example Question #3 : Calculating The Slope Of A Perpendicular Line
Given:
Calculate the slope of 
To find the slope of a line perpendicular to a given line, simply take the opposite reciprocal of the slope of the given line.
Since f(x) is given in slope intercept form,
Therefore our original slope is
So our new slope becomes:
Example Question #4 : Calculating The Slope Of A Perpendicular Line
What would be the slope of a line perpendicular to the following line?
The equation for a line in standard form is written as follows:
Where 
Example Question #1 : Calculating The Slope Of A Perpendicular Line
What is the slope of a line perpendicular to the line of the equation 
The line has an undefined slope.
The line has an undefined slope.
The graph of 
Example Question #2 : Calculating The Slope Of A Perpendicular Line
Give the slope of a line on the coordinate plane.
Statement 1: The line shares an 
Statement 2: The line is perpendicular to the line of the equation 
BOTH statements TOGETHER are insufficient to answer the question.
Statement 1 ALONE is sufficient to answer the question, but Statement 2 ALONE is NOT sufficient to answer the question.
BOTH statements TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient to answer the question.
Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.
EITHER statement ALONE is sufficient to answer the question.
Statement 2 ALONE is sufficient to answer the question, but Statement 1 ALONE is NOT sufficient to answer the question.
Assume Statement 1 alone. In order to determine the slope of a line on the coordinate plane, the coordinates of two of its points are needed. The 
The 
Assume Statement 2 alone. The slope of the line of the equation 
The slope of this line is the coefficient of 
The question is answered.
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