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Line $j$ is perpendicular to $\frac{y}{3}+\frac{2x}{5}=2$. What is the slope of line $j$?

 Jul 10, 2019
 #1
avatar+106533 
+1

 

j  perpendicular to    y     + 2x     = 2      find the slope of j

                              __       ___

                               3          5

 

Mutiply through by 15

 

5y  + 6x   =  30    subtract 6x from both sides

 

5y  = -6x  + 30      divide both  sides  by   5

 

y = (-6/5)x  + 6 

 

If j is perpendicular, then its slope  is the negative reciprocal of -6/5  =  5/6

 

cool cool cool

 Jul 10, 2019
 #2
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+1

Thank you so much CPhill!!! Love U <3

 Jul 10, 2019

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