schmitt71 schmitt71

21-03-2019
Mathematics

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AB is perpendicular to CD. If the slope of AB is 2/5, what is the slope of CD?

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21-03-2019

Given a slope [tex] m [/tex], the slope [tex] m'[/tex] of a line perpendicular to [tex]m[/tex] is the opposite of the inverse of [tex] m [/tex]

In other words:

[tex] mm' = -1 \iff m' = -\dfrac{1}{m} [/tex]

So, the slope of CD is -5/2.

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