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1. Line 1 represents the graph of 3x+4y=-14. Line 2 passes through the point (-5,7), and is perpendicular to line 1. If line 2 represents the graph of y=mx+b, then find m+b.

 Sep 2, 2020
 #1
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3x+4y= -14

4y = -3x -14

y = -3/4 x - 14/4        slope of THIS line, m, is -3/4

   perpindicular slope is - 1/m   =   4/3

 

point slope form of the second line is

(y-7) =   4/3  (x+5)        re-arrange into  y = mx+b form    to calc  m+b

 Sep 2, 2020

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