answersLogoWhite

0

For any two perpendicular lines (save a vertical and a horizontal one), the product of their slopes is always -1. For two perpendicular lines with one having a slope of -2, the other will have a slope equal to -1 divided by -2, which equals 1/2.

User Avatar

Wiki User

14y ago

What else can I help you with?

Continue Learning about Math & Arithmetic

If two lines are perpendicular what is their slopes?

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.


Do Perpendicular lines have opposite sign and reciprocal slopes of each other?

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.


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.


How do you tell if lines are perpendicular based on slope?

The slope (rise over run) of one line will be a number (n) or (-n) and the perpendicular line's slope will be the exact opposite. So, for instance, if one line has a slope of 2/3, then a perpendicular line's slope must be -2/3, and vice versa.


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} ).

Related Questions

If two lines are perpendicular what is their slopes?

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.


Do Perpendicular lines have opposite sign and reciprocal slopes of each other?

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.


Assume you have two lines which are perpendicular If one line has a slope of 3 what is the slope of the other line?

-(1/3)


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.


How do you tell if lines are perpendicular based on slope?

The slope (rise over run) of one line will be a number (n) or (-n) and the perpendicular line's slope will be the exact opposite. So, for instance, if one line has a slope of 2/3, then a perpendicular line's slope must be -2/3, and vice versa.


Two lines are perpendicular If one line has a slope of 1 21 what is the slope of the other line?

The slope of a line and the perpendicular to that line, when multiplied together, give -1. So, if the first line has a slope of 1/21, the second has a slope of -21.


The slope of a line is -3. Find the slope of a line that is perpendicular to this line. The slope of a line is -3.?

The slope of two lines are perpendicular only if their slopes multiplied together equal -1 (m1*m2 = -1). So if a line has a slope of -3 then a line perpendicular to this one has a slope of -1/-3 or 1/3.


How do you find a slope of a line perpendicular?

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.


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} ).


What type of slope does perpendicular lines have?

Th opposite reciprocal. So if one line has a slope of 2 then the other line will have a slope of -1/2


If two lines are perpendicular they have the same slope.?

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.


Suppose you have two lines which are perpendicular If the slope of one line is 5 and the slope of the other line is m then 5m equals?

-1