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Kaylis [27]
3 years ago
12

When lines are perpendicular their slopes flip and?

Mathematics
2 answers:
natka813 [3]3 years ago
8 0

Answer:

Their sign changes.

Mamont248 [21]3 years ago
7 0

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.

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\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]

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