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Because one slope is positive while the other slope is a negative reciprocal of it.

For example: 2*-1/2 = -1

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Q: Why product of slopes of perpendicular lines is -1?
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Related questions

If the product of the slopes is what then the lines are what?

If the product is -1 then the lines are perpendicular to one another.


The product of the slopes of perpendicular lines is always?

-1


What is the product of the slopes of perpendicular lines?

It is always -1.


When is the product of the slopes of two perpendicular lines not equal to -1?

When the perpendicular lines are horizontal and vertical.


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 two lines that have slopes of 1 and -1 are perpendicular?

2


If the product of the slopes of two lines equals negative 1 then the lines?

Are perpendicular.


How do you use slope to determine if two lines are perpendicular?

You have to know the slopes of both lines. -- Take the two slopes. -- The lines are perpendicular if (one slope) = -1/(the other slope), or the product of the slopes equals to -1.


If the product of the slopes of two lines equals -1 then the lines?

Are perpendicular to one another.


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.


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 are perpindicullar lines?

Perpendicular lines * Two lines that create an angle of 90 degrees and the product of their slopes is -1.