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The lines 3y + 2x = 7 - x + 8y and y = mx - 11 are perpendicular. Find m.

 Apr 21, 2022
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3y + 2x  =  7 - x + 8y    rearrange as

 

3x - 5y  = 7

 

In the form    Ax + By =  C, the slope is  given by      -A/B

A = 3    B  = -5

So.....

-A / B  =  -3 / -5  = 3/5

 

To find  m   we have

 

(3/5) *m    =  -1

 

m = -1 (5/3)

 

m  =   -5/3

 

 

cool cool cool

 Apr 21, 2022

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