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What is the difference between slopes of parallel lines and slopes of perpendicular lines?
Slopes of parallel lines have the same slope (they are changing at the same rate).Slopes of perpendicular lines have slopes that are the negative inverse of each other, that is, their product is -1. (The slope of a vertical line is therefore undetermined, not infinity. There is no slope s that times 0 equals -1.)---Let m1 be the slope of line one and m2 be the slope of line two. Then:If the lines are parallel, then their slopes are equal, so m1 - m2 = 0.If the lines are perpendicular, then their slopes are negative inverses of each other, so= m1 - (-1/m1)= m1 + 1/m1= (m12 + 1)/m1
What pair of slopes could represent perpendicular lines?
Negative reciprocal slopes always represent perpendicular lines.
What is the product of the slopes of perpendicular lines?
It is always -1.
If the slopes of two lines are negative reciprocals the lines are perpendicular. true or false?
true (APEX)
If the slopes of two lines are negative reciprocals, the lines are perpendicular. true or false?
true (APEX)
If two lines are their slopes are negative reciprocals?
If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.If the lines are perpendicular, their slopes are negative reciprocals.
If the product of the slopes of two lines equals -1 then the lines?
Are perpendicular to one another.
Two numbers are if their product is -1?
Two numbers are negative reciprocals if their product is -1. The numbers 1/2 and -2 are negative reciprocals. Their product is -1. This is often seen in problems involving the slopes of two lines. The slopes of perpendicular lines are negative reciprocals. Their product is -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.
If two lines have slopes that are negative reciprocals of each other then they are if they have slopes that are the same then they are?
negative reciprocal slopes ---> the lines are perpendicular equal slopes ---> the lines are parallel
Would perpendicular lines have negative or positive slopes?
I believe they have Negative Slopes as stated by my Geometry Book. "Perpendicular Lines Have Slopes Which Are Negative ___"
Are the slopes of vertical lines and horizontal lines negative reciprocals?
No, the slopes of vertical lines and horizontal lines are not negative reciprocals. A vertical line has an undefined slope, while a horizontal line has a slope of zero. Since negative reciprocals refer to two numbers whose product is -1, and since one of these slopes is undefined, they do not satisfy this condition.
In a coordinate plane two nonvertical lines are WHAT if and only if the product of their slopes is negative one?
Perpendicular
What are two line slopes that are negative reciprocals are?
Two lines have slopes that are negative reciprocals if the product of their slopes equals -1. For example, if one line has a slope of 2, the negative reciprocal would be -1/2. This means that if one line rises 2 units for every 1 unit it runs, the other line falls 1 unit for every 2 units it runs, creating perpendicular lines.
What is the difference between slopes of parallel lines and slopes of perpendicular lines?
Slopes of parallel lines have the same slope (they are changing at the same rate).Slopes of perpendicular lines have slopes that are the negative inverse of each other, that is, their product is -1. (The slope of a vertical line is therefore undetermined, not infinity. There is no slope s that times 0 equals -1.)---Let m1 be the slope of line one and m2 be the slope of line two. Then:If the lines are parallel, then their slopes are equal, so m1 - m2 = 0.If the lines are perpendicular, then their slopes are negative inverses of each other, so= m1 - (-1/m1)= m1 + 1/m1= (m12 + 1)/m1
Definition of slopes of perpendicular lines?
One is the negative reciprocal of the other. That is, the product of the two slopes is -1. UNLESS one of them is zero, in which case the slope of the other is infinite.
If the product of the slopes is what then the lines are what?
If the product is -1 then the lines are perpendicular to one another.
