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Line  L1 represents the graph of 3x+4y=-14. Line  L2 (-5, 7) passes through the point, and is perpendicular to line L1. If line  L2 represents the graph of y=mx+b, then find m+b.

 

Thank you,

Soccerfan123 ;)
 

 Jul 7, 2021
 #1
avatar+121003 
+1

3x  +  4y  = -14

Slope of  this line  =  -3/4

Slope of perpendicular line =  negative reciprocal   =    4/3

 

So....using  ( -5, 7)    we  have

 

y  = (4/3)( x - - 5)  + 7

 

y = ( 4/3) ( x + 5)   +  7

 

y = (4/3)x  +  20/3  +  7

 

y = (4/3)x  +  20/3  + 21/3

 

y =  (4/3) x   +  41/3

 

m = 4/3     b =  41/3

 

m +  b =   45/3    =  15

 

EDITED......!!!!

 

 

cool cool cool

 Jul 7, 2021
edited by CPhill  Jul 7, 2021
 #2
avatar+2 
+1

Thank you so much CPhill! I think the answer is 41/3+4/3=45/3 which is equivilent to 15

 Jul 7, 2021
 #3
avatar+121003 
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Thanks for the correction .....duh!!!!

 

 

 

cool cool cool

CPhill  Jul 7, 2021

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