How to find the slope of a perpendicular line - Intermediate Geometry
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Any line that is perpendicular to 
must have a slope of what?
Any line that is perpendicular to
Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form, 
, where 
equals the slope of the line. First, we must subtract 
from both sides of the equation, giving us 
. Next, we must divide both sides by 
, giving us 
. We can now see that the slope of this line is 
. Therefore, any line that is perpendicular to this one must have a slope of 
.
Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. To find the slope, we must put the equation into slope-intercept form,
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A line goes through the following 
and 
.
Find the slope of a line perpendicular to the line given.
A line goes through the following
Find the slope of a line perpendicular to the line given.
The slope of a line perpendicular is the negative reciprocal of the given line.
Since the given slope is calculated as 
, then the slope of the perpendicular line would be 
.
The slope of a line perpendicular is the negative reciprocal of the given line.
Since the given slope is calculated as
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What is the slope of any line perpendicular to 
?
What is the slope of any line perpendicular to
The slope of a perpendicular line is the negative reciprocal of the original slope.
The original slope is 
.
The negative reciprocal of the original slope is:
The slope of a perpendicular line is the negative reciprocal of the original slope.
The original slope is
The negative reciprocal of the original slope is:
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What is the slope of a line perpendicular to 
?
What is the slope of a line perpendicular to
The equation 
is a vertical line on the coordinate plane. Any line perpendicular to a vertical line is a horizontal line. Horizontal lines have slopes of zero.
The correct answer is 
.
The equation
The correct answer is
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Assume the points 
and 
form a line. A perpendicular line is drawn to intersect this line. What is the slope of the perpendicular line?
Assume the points
Write the slope formula and find the slope of the first line.
The slope of the perpendicular line is the negative reciprocal of the original slope.
Therefore, the slope of the perpendicular line is 
.
Write the slope formula and find the slope of the first line.
The slope of the perpendicular line is the negative reciprocal of the original slope.
Therefore, the slope of the perpendicular line is
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