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Do parallel lines have negative reciprocals?
The slope of parallel lines are the same, but the slope of perpendicular lines are negative reciprocals of each other.
Steeper lines have a?
larger slope if positive and a smaller slope if negative
How does negative reciprocal apply to the concept of determining perpendicular lines?
The concept of negative reciprocals is essential in determining perpendicular lines in a Cartesian coordinate system. If two lines are perpendicular, the slopes of those lines are negative reciprocals of each other. This means that if one line has a slope of ( m ), the slope of the line perpendicular to it will be ( -\frac{1}{m} ). For example, if one line has a slope of 2, the slope of the line perpendicular to it will be -0.5.
If two lines are perpendicular?
one slope is the negative reciprocal of the other
Is a line with a positive slope and a line with a negative slope parallel?
No, a line with a positive slope and a line with a negative slope cannot be parallel. Parallel lines have the same slope, meaning they rise or fall at the same rate. A positive slope indicates that a line rises as it moves from left to right, while a negative slope indicates that a line falls. Therefore, these two types of lines will eventually intersect if extended far enough, demonstrating that they are not parallel.
Do parallel lines have negative reciprocals?
The slope of parallel lines are the same, but the slope of perpendicular lines are negative reciprocals of each other.
Steeper lines have a?
larger slope if positive and a smaller slope if negative
Do perpendicular lines have the same exact slope?
No, parallel lines have exactly same slope Perpendicular line have a slope that is negative reciprocal of each other that is if m = slope of line then slope of perpendicular line is -1/m
What is the slope of a perpendicular line if the slope of a line is -13?
A perpendicular lines slope is always the negative or opposite reciprocal of a lines slope. Therefore, if your slope is -13/1 then the perpendicularity of the other line is 1/13. The 13 would change positive there fore its its already a negative number then change it posiive.
If two lines are perpendicular?
one slope is the negative reciprocal of the other
What is the slope relationship of perpendicular lines?
They are negative reciprocals. So if the slope of a line is x, the slope of the perpendicular line is -1/x
What is the definition of a slope of parallel lines?
Horizontal lines have a slope of zero, and the slope of vertical lines is undefined. Parallel lines have equal slopes, and perpendicular lines have slopes that are negative reciprocals of each other. So we can say that: Two nonvertical lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if their slopes are negative reciprocals of each other. That is, if the slopes are m1 and m2, then: m1 = - 1/m2 or (m1)(m2) = -1
Can two lines with positive slopes be parallel?
yes they can be parallel because for a pair of lines to be parallel the slope must be the same no matter if the slope is positive or negative.
How do you know if a slope is positive or negative?
There shouldnt be a slope on your test.... There should be 2 straight lines which means postive. One straight line means negative.
Can two lines with a negative slope be perpendicular?
NoIf the slope of a given line is x, than the slope of the line perpendicular to the first line is 1/-x. So if the first slope is negative, the second will be positive, and vice versa.
The slopes of perpendicular lines are?
They are the negative reciprocal of each other. Fo rexample, if a line has slope = +2, then the line perpendicular to it has slope -1/2
What is the slope of a line that is peroendicular to the line y equals 2x plus 5?
Perpendicular lines have a negative reciprocal slope. Slope of y=2x+5 is 2/1 negative reciprocal is (-1/2)
