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Given two lines whose equations are 3x + y - 8 = 0 and  -2x + by + 9 = 0, determine the value of b such that the two lines will be perpendicular.

 Aug 10, 2021
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Arrangel first line into y = mx + b form   where m = slope

 

y = -3x +8           m = - 3       perpindicular slope = - 1/m = 1/3

 

 

arrange second equation into y=mx + b form    (I'll change the 'b' in the question to 'z' to avoid confusion)

- 2x + z y = - 9

y =  2/z  x  - 9 / z         slope    2/z = 1/3       then z = 6     (this is the   'b ' you are looking for )

 Aug 10, 2021

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