+2
one slope is the negative reciprocal of the other
Negative reciprocals. That is, if one line has slope m (m ≠0), then the perpendicular to it has slope -1/m. If m = 0, the slope of the perpendicular is not defined - the line is of the form x = k.
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, the slope of one line is the negative reciprocal of the slope of the other line. This means that if one line has a slope of ( m ), the other line's slope will be ( -\frac{1}{m} ). For example, if one line has a slope of 2, the slope of the perpendicular line will be -(\frac{1}{2}). This relationship ensures that the two lines intersect at a right angle.
Yes, perpendicular lines have slopes that 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's slope is 2, the perpendicular line's slope would be -0.5. This relationship ensures that the lines intersect at right angles.
The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.The slope of the perpendicular is the negative reciprocal of the slope of a line. In this case, - (1 / -1) = 1.
one slope is the negative reciprocal of the other
Negative reciprocals. That is, if one line has slope m (m ≠0), then the perpendicular to it has slope -1/m. If m = 0, the slope of the perpendicular is not defined - the line is of the form x = k.
If two nonvertical lines are perpendicular, then the product of their slope is -1.An equivalent way of stating this relationship is to say that one line is perpendicular to another line if its slope is the negative reciprocal of the slope of the other. For example, if a line has slope 3, any line having slope - 1/3 is perpendicular to it. Similarly, if a line has slope - 4/5, any line having the slope 5/4 is perpendicular to it.
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, the slope of one line is the negative reciprocal of the slope of the other line. This means that if one line has a slope of ( m ), the other line's slope will be ( -\frac{1}{m} ). For example, if one line has a slope of 2, the slope of the perpendicular line will be -(\frac{1}{2}). This relationship ensures that the two lines intersect at a right angle.
The slope of a line perpendicular to one with a slope of m is -1/m.
Yes, perpendicular lines have slopes that 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's slope is 2, the perpendicular line's slope would be -0.5. This relationship ensures that the lines intersect at right angles.
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} ).
Positive 3
This statement is incorrect. If two lines are perpendicular, their slopes are negative reciprocals of each other. This means that if one line has a slope of ( m ), the other line will have a slope of ( -\frac{1}{m} ). Thus, perpendicular lines intersect at right angles, rather than having the same slope.
if they are parallel they run side by side forever and will never cross. if they are perpendicular they will cross at a 90 degree angle. You can also tell just by looking at the equations for the lines if they are in the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept). When two lines are parallel, they have the same slope. When two lines are perpendicular, the slope of one is the negative reciprocal of the slope of other. For example, a line with a slope of 2 is perpendicular to a line with a slope of -½, and a line with a slope of 1 is perpendicular to a line with a slope of -1. (y = 1 and x = 1 are perpendicular because the slope of y = 1 is zero, the slope of x = 1 is infinity, the reciprocal of infinity is zero, and negative zero equals zero.)