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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.

 Feb 18, 2021
 #1
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3x+4y=-14  

 is the same as    y = -3/4 x - 14/4    slope, m  = -3/4        

               perpindicular slope = - 1/m = 4/3

 

point slope form    of new line  thru 5,7   

           y-7 = 4/3 (x-5)      re-arrange

           y = 4/3 x - 20/3 + 7

                                   take it from here......

 Feb 18, 2021

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