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Example Questions
Example Question #781 : Geometry And Graphs
If the slope of a line is 
The slope of the perpendicular line is the negative reciprocal of the original slope.
Substitute the slope into the equation.
The answer is:
Example Question #21 : Parallel And Perpendicular Lines
Given the equation 
When lines are parallel, their slopes are equal.
Rewrite the given equation in standard form to slope-intercept form:
Subtract 
Divide by negative seven on both sides.
The equation becomes:
The answer is:
Example Question #22 : Parallel And Perpendicular Lines
What is the slope of the line that is perpendicular to the line 
Start by putting the given equation of a line in slope-intercept form.
The slope of the given line is 
Next, recall that the slope of perpendicular lines are negative reciprocals. To get the negative reciprocal, change the sign of the given slope and flip the numerator and denominator.
The negative reciprocal of 
Example Question #781 : Geometry And Graphs
If a line is 
The equation of the line is the slope is in slope-intercept form:
The slope is three.
The perpendicular line is the negative reciprocal of the original slope.
Substitute the slope into the equation.
The answer is:
Example Question #21 : Parallel And Perpendicular Lines
Which of the following lines is parallel to the line 
Start by placing the given equation in slope-intercept form.
Recall that parallel lines must have the same slope. Thus, 
Example Question #22 : Parallel And Perpendicular Lines
What is the slope of a line that is perpendicular to the line 
Start by rewriting the equation in slope-intercept form.
Recall that perpendicular lines have slopes that are negative reciprocals of each other. To find the negative reciprocal, flip the signs, and switch the numerator and denominator around.
The negative reciprocal of 
Example Question #21 : Parallel And Perpendicular Lines
Which of the following lines is parallel to 
Which of the following lines is parallel to 
For two lines to be parallel, they must be equidistant at all points and never cross. This will only happen if the two lines have equal slope.
Recall that slope is the number in front of the x. In this case, it is negative 4
So, the only option with slope of negative 4 is:
Don't be fooled by any of the similar looking options!
Example Question #23 : Parallel And Perpendicular Lines
Which of the following lines is perpendicular to the line 
Recall that perpendicular lines have slopes that are negative reciprocals.
Start by putting 
The slope of the given line is 
Example Question #82 : Coordinate Geometry
Which of the following lines is parallel to the line 
Recall that parallel lines have the same slope. Start by putting the given equation of a line in slope-intercept form.
Since the given line has a slope of 
Example Question #1751 : Ged Math
Two lines on the coordinate plane are perpendicular. One line has slope 0.7. The other line has slope:
A line perpendicular to a given line has as its slope the opposite of the reciprocal of the slope of the first line. The given line has slope
The opposite of the reciprocal of this can be obtained by switching numerator and denominator, then changing sign. The number is 
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