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Let line 1 be the graph of 5x+8y=-9. Line 2 is perpendicular to line 1 and passes through the point (10,-12). If line 2 is the graph of the equation y=mx+b, then find. m+b

 Jun 10, 2021
 #1
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5x+8y=-9   is the same as     y = - 5/8 x - 9/8     slope , m = -5/8         perpindicular slope = - 1/m = 8/5

 

so you new line becomes

   y = 8/5  x + b       sub in the given point to find b

  -12 = 8/5 (10) + b

         b = - 28        

 

y = 8/5 x - 28      You can finish !   cheeky

 Jun 10, 2021

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