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When two lines are perpendicular, their slopes are negative reciprocals.

In the example, the perpendicular to y= (1/21) x

would be y = -21 x

For y = 2x, the perpendicular would be y= -½ x

You invert the fraction and change the sign.

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15y ago

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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 perpendicular lines?

The slope of a perpendicular line is not defined.


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.


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.


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

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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.


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.


For perpendicular lines if the slope of one line is -2 what is the slope of the line perpendicular to it?

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.


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.


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


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