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Can a line have two slopes how or why not?
can a line have two slopes
If there are two lines that are perpendicular and one of the two slopes is negative one third then what is the slope of the other line?
Positive 3
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.
How do the slopes of two Parallel lines compare?
The slopes of two parallel lines are identical, meaning they have the same numerical value. This is because parallel lines maintain a constant distance from each other and do not intersect, which requires their slopes to be equal. If one line has a slope of ( m ), the other line will also have a slope of ( m ).
What is the product of two slopes perpendicular to lines?
The product of the slopes of two perpendicular lines is always -1. If one line has a slope of ( m_1 ) and the other has a slope of ( m_2 ), the relationship can be expressed as ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope.
Can a line have two slopes how or why not?
can a line have two slopes
If two lines are parallel what do you know about their slopes?
If two lines are parallel, they have the same slope.(And if they are perpendicular, the product of their slopes is minus one - unless one line is horizontal and the other vertical.)
If there are two lines that are perpendicular and one of the two slopes is negative one third then what is the slope of the other line?
Positive 3
Can a line have two slopes why or why not?
Yes it can, but it would not then be a straight line but an angle.
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.
Roof with two slopes and gable at both ends?
If the gable is formed by the two slopes and a horizontal line, it is called a gable roof.
How do the slopes of two Parallel lines compare?
The slopes of two parallel lines are identical, meaning they have the same numerical value. This is because parallel lines maintain a constant distance from each other and do not intersect, which requires their slopes to be equal. If one line has a slope of ( m ), the other line will also have a slope of ( m ).
How do you know if two line segments are parallel?
Their slopes are equal.
What is the product of two slopes perpendicular to lines?
The product of the slopes of two perpendicular lines is always -1. If one line has a slope of ( m_1 ) and the other has a slope of ( m_2 ), the relationship can be expressed as ( m_1 \cdot m_2 = -1 ). This means that if you know the slope of one line, you can find the slope of the perpendicular line by taking the negative reciprocal of that slope.
If two lines are perpendicular what do you know about their slopes?
one is the negative reciprocal of the other; that is if the slope of one line is 2, the other is -1/2
How do you know if two line segments are perpendicular?
their slopes are negative reciprocals.
What must be true about the slopes of two perpendicular lines neither of which is verical?
For two non-vertical lines to be perpendicular, the product of their slopes must equal -1. This means that if the slope of one line is ( m_1 ), then the slope of the other line, ( m_2 ), must satisfy the equation ( m_1 \times m_2 = -1 ). Therefore, the slopes are negative reciprocals of each other. For example, if one line has a slope of ( 2 ), the other must have a slope of ( -\frac{1}{2} ).
