How to find the slope of a perpendicular line - Math
Card 1 of 36
A line passes through the points 
and 
. If a new line is drawn perpendicular to the original line, what will its slope be?
A line passes through the points
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The original line has a slope of 
, a line perpendicular to the original line will have a slope which is the negative reciprocal of this value.
The original line has a slope of
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Find the slope of the line perpendicular to 
.
Find the slope of the line perpendicular to
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Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting 
from both sides of the equation:
The slope of this line is 
.
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by 
:
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting
The slope of this line is
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by
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Which of the following is the equation of a line that is perpendicular to the line 
?
Which of the following is the equation of a line that is perpendicular to the line
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Perpendicular lines have slopes that are the opposite reciprocals of each other. Thus, we first identify the slope of the given line, which is 
(since it is in the form 
, where 
represents slope).
Then, we know that any line which is perpendicular to this will have a slope of 
.
Thus, we can determine that 
is the only choice with the correct slope.
Perpendicular lines have slopes that are the opposite reciprocals of each other. Thus, we first identify the slope of the given line, which is
Then, we know that any line which is perpendicular to this will have a slope of
Thus, we can determine that
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Find the slope of this line: 
Find the slope of this line:
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Isolate for 
so that the equation now reads
The slope is 
.
Isolate for
The slope is
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Which of the following is perpendicular to the line described by
Which of the following is perpendicular to the line described by
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The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is 
, this means that the slope of its perpendicular line would be 
.
The answer
is the only equation listed that has a slope of 
.
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is
The answer
is the only equation listed that has a slope of
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Which of the following is perpendicular to the line described by 
Which of the following is perpendicular to the line described by
Tap to reveal answer
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is 
, this means that the slope of its perpendicular line would be 
.
The answer
is the only equation listed that has a slope of 
.
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is
The answer
is the only equation listed that has a slope of
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What will be the slope of the line perpendicular to 
?
What will be the slope of the line perpendicular to
Tap to reveal answer
In standard 
form, the 
is the slope.
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is 
. Therefore, the slope of the perpendicular line is 
.
In standard
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is
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What is the slope of the line perpendicular to 
?
What is the slope of the line perpendicular to
Tap to reveal answer
In standard 
form, 
is the slope.
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is 
. Therefore, the slope of the perpendicular line is 
.
In standard
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is
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Which of the following gives the slope of a line that is perpendicular to 
?
Which of the following gives the slope of a line that is perpendicular to
Tap to reveal answer
Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of 
. Thus, we can get that the opposite reciprocal is 
.
Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of
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A line passes through the points and . If a new line is drawn perpendicular to the original line, what will its slope be?
A line passes through the points
Tap to reveal answer
The original line has a slope of , a line perpendicular to the original line will have a slope which is the negative reciprocal of this value.
The original line has a slope of
← Didn't Know|Knew It →
Find the slope of the line perpendicular to .
Find the slope of the line perpendicular to
Tap to reveal answer
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting from both sides of the equation:
The slope of this line is .
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by :
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting
The slope of this line is
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by
← Didn't Know|Knew It →
Which of the following is the equation of a line that is perpendicular to the line ?
Which of the following is the equation of a line that is perpendicular to the line
Tap to reveal answer
Perpendicular lines have slopes that are the opposite reciprocals of each other. Thus, we first identify the slope of the given line, which is (since it is in the form , where represents slope).
Then, we know that any line which is perpendicular to this will have a slope of .
Thus, we can determine that is the only choice with the correct slope.
Perpendicular lines have slopes that are the opposite reciprocals of each other. Thus, we first identify the slope of the given line, which is
Then, we know that any line which is perpendicular to this will have a slope of
Thus, we can determine that
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Find the slope of this line:
Find the slope of this line:
Tap to reveal answer
Isolate for so that the equation now reads
The slope is .
Isolate for
The slope is
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Which of the following is perpendicular to the line described by
Which of the following is perpendicular to the line described by
Tap to reveal answer
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is , this means that the slope of its perpendicular line would be .
The answer
is the only equation listed that has a slope of .
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is
The answer
is the only equation listed that has a slope of
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Which of the following is perpendicular to the line described by
Which of the following is perpendicular to the line described by
Tap to reveal answer
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is , this means that the slope of its perpendicular line would be .
The answer
is the only equation listed that has a slope of .
The definition of perpendicular lines is that their slopes are inverse reciprocals of one another. Since the slope in the given equation is
The answer
is the only equation listed that has a slope of
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What will be the slope of the line perpendicular to ?
What will be the slope of the line perpendicular to
Tap to reveal answer
In standard form, the is the slope.
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is . Therefore, the slope of the perpendicular line is .
In standard
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is
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What is the slope of the line perpendicular to ?
What is the slope of the line perpendicular to
Tap to reveal answer
In standard form, is the slope.
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is . Therefore, the slope of the perpendicular line is .
In standard
The slope of a perpendicular line is the negative reciprocal of the original line.
For our given line, the slope is
← Didn't Know|Knew It →
Which of the following gives the slope of a line that is perpendicular to ?
Which of the following gives the slope of a line that is perpendicular to
Tap to reveal answer
Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of . Thus, we can get that the opposite reciprocal is .
Recall that the slopes of perpendicular lines are opposite reciprocals of one another. As a result, we are looking for the opposite reciprocal of
← Didn't Know|Knew It →
A line passes through the points and . If a new line is drawn perpendicular to the original line, what will its slope be?
A line passes through the points
Tap to reveal answer
The original line has a slope of , a line perpendicular to the original line will have a slope which is the negative reciprocal of this value.
The original line has a slope of
← Didn't Know|Knew It →
Find the slope of the line perpendicular to .
Find the slope of the line perpendicular to
Tap to reveal answer
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting from both sides of the equation:
The slope of this line is .
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by :
Put this equation into slope-intercept form, y = mx + b, to find the slope, m.
Do this by subtracting
The slope of this line is
The slope of the perpendicular line is the negative reciprocal. Switch the numerator and denominator, and then multiply by
← Didn't Know|Knew It →