KaynonX413969 KaynonX413969
  • 26-10-2022
  • Mathematics
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How do you find the slope of the second line

How do you find the slope of the second line class=

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HristoC306698 HristoC306698
  • 26-10-2022

Answer:

-2/3

Explanation:

Note that slopes of perpendicular lines are negative reciprocals of each other.

For example, if the slope of one of the two lines is m, then the slope of the other will be given as -1/m.

From the question, we're told that the slope of the green line is 3/2, we can go ahead and determine the slope of the red line as shown below;

[tex]\begin{gathered} \text{Slope of red line}=\frac{-1}{\frac{3}{2}} \\ =-1\times\frac{2}{3} \\ =-\frac{2}{3} \end{gathered}[/tex]

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