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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.

 

How do I do this problem?

 Feb 17, 2021
 #1
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Rearrange  the  first equation as   y  =  -3x +  8

Rearrange  the second equation  as   y = (2/b)x  + 9/b

 

Slope  of  first line = -3

 

Slope of a perp  line =  1/3

 

So  

 

1/3 =  2/b     cross-multiply

 

b  = 3*2

 

b  = 6

 

 

cool cool cool

 Feb 17, 2021

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