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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 two perpendicular lines neither of which is vertical?
In that case, the product of the slopes is equal to minus 1.
If two lines are perpendicular what is the respective slopes equal to?
Given any line L, with slope m, the perpendicular line has slope -m.
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.
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).
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.
What is the slope of perpidicular lines?
When two lines are perpendicular to each other the product of their slopes is equal to -1.m1*m2 = -1
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 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
Can two lines both have negative slopes and still be perpendicular?
Yes, as long as the negative slopes are both equal.
Which formula is correct for the slopes of perpendicular lines?
if slope is given as m then perpendicular slope is -1/m (negative inverse)
How are slopes related for perpendicular lines?
For two lines to be perpendicular, the product of their slopes must equal -1. If one line has a slope of ( m_1 ), the slope of the line perpendicular to it, ( m_2 ), can be found using the relationship ( 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. Thus, if ( m_1 ) is not zero, ( m_2 = -\frac{1}{m_1} ).
