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When two lines are parallel, they have the same slope. For example:
y=5x-3 and
y=5x+9
These lines are parallel, because they have the same slope.
When two lines are perpendicular they have negative reciprocal slopes. For example:
y=2x-6 and
y=-1/2x+2
These lines are parallel, because they have negative or opposite reciprocal slopes.
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How do parallel and perpendicular slopes compare or their y intercept?
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
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.
What is the product of the slopes when the x axis and y axis are perpendicular?
The slope of the x-axis is 0 and the y-axis does not have a slope. For all pairs of perpendicular lines, other than those parallel to the axes, the product of their slopes is -1.
Is y equals 3x plus 1 and y equals 3x - 7 perpendicular?
No. they are parallel, since the slopes are both equal in this case 3. To be perpendicular the product of the slopes of both lines is equal to -1 (i.e., m1*m2 = -1).
Are 3x-4y equals -5 and 8x plus 6y equals -5 parallel or perpendicular lines?
They are perpendicular lines because the slopes are 3/4 and -4/3 respectively.
How do parallel and perpendicular slopes compare or their y intercept?
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
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.
Do Perpendicular lines have opposite reciprocal slopes?
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
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
How do you determine if 2 lines are parallel perpendicular or neither?
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if the product of their slopes is -1. If neither of these conditions are met, the lines are nether parallel, or perpendicular.
Is 5x 2y9 and 5x 2y2 parallel perpendicular or neither?
If they have the same slope, they are parallel. The slopes are the same, so yes they are parallel.
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.)
What pairs of parallel lines mean?
It means two lines which are always the same perpendicular distance apart from one another.
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.
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 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
Is it possible for two lines with positive slopes to be perpendicular?
Is it possible for two lines with positive slopes to be perpendicular?
