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The product of the slopes of perpendicular lines is always?
-1
Two lines that are perpendicular to each other?
Perpendicular lines have slopes that the inverse of each other. If one line has a slope of 1/3, the other has a slop of 3/1
How can you determine if the given lines are perpendicular?
Two lines are perpendicular if the product of their slopes is -1. A straight line with an equation in the form: y = mx + c has slope m and y-intercept c. Given two lines y = mx +c and y = nx + d they are perpendicular if mn = -1. Examples: 1) are the two lines y = 2x and 2y = x + 2 perpendicular? y = 2x 2y = x + 2 → y = 1/2 x + 1 → product of slopes = 2 x 1/2 = 1 → the lines are not perpendicular 2) are the two lines y + 2x = 5 and 2y = x + 2 perpendicular? y + 2x = 5→ y = -2x + 5 2y = x + 2 → y = 1/2 x + 1 → product of slopes = -2 x 1/2 = -1 → the lines are perpendicular
What can you say about the slopes of two non-vertical perpendicular lines?
They are negative reciprocals Ex -1/2 and 2
As slopes of x and y axes are 0 and undefined respectively why the product of slopes of x and y axes is -1?
1
How do you use slope to determine if two lines are perpendicular?
You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.
How do you calculate parallel and perpendicular lines in a given plane?
Take any two lines and look at their slopes. -- If the slopes are equal, then the lines are parallel. -- If the product of the slopes is -1, then the lines are perpendicular.
When is the product of the slopes of two perpendicular lines not equal to -1?
When the perpendicular lines are horizontal and vertical.
What must be true about the slopes of 2 perpendicular lines?
The slopes of two perpendicular lines are negative inverses of each other. In other words, the two slopes when multiplied together equal -1.
If the product of the slopes of two lines equals negative 1 then the lines?
Are perpendicular.
If the product of the slopes of two lines equals -1 then the lines?
Are perpendicular to one another.
If the lines have slopes that are negative reciprocals?
If you have two lines that have negative recipricals (1 and -1 for example), the lines are perpendicular.
How do slopes of perpendicular lines compare?
Slopes of perpendicular lines will be opposite reciprocals. This means that the slopes have opposite signs and that one is 1/ the other. For example, 2 and -1/2.
Is it possible for two lines with positive slopes to be perpendicular?
Is it possible for two lines with positive slopes to be perpendicular?
What are perpindicullar lines?
Perpendicular lines * Two lines that create an angle of 90 degrees and the product of their slopes is -1.
What are perpindicullar?
Perpendicular lines * Two lines that create an angle of 90 degrees and the product of their slopes is -1.
In a coordinate plane two nonvertical lines are what if and only if the product of their slopes is -1?
perpendicular
