104k views
5 votes
When lines are perpendicular their slopes flip and?

User Yoonkyung
by
5.2k points

2 Answers

4 votes

Answer:

Their sign changes.

User Ryan Gunn
by
5.4k points
7 votes

For this case we have to:

Given two lines:


y_ {1} = m_ {1} x_ {1} + b_ {1}\\y_ {2} = m_ {2} x_ {2} + b_ {2}

By definition, if both lines are perpendicular to each other, then the product of their slopes is -1. That is to say:


m_ {1} * m_ {2} = - 1

ANswer:

The product of the slopes of two perpendicular lines is -1.

User John Russell
by
4.8k points
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