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What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.

 Jun 23, 2020
 #1
avatar+10567 
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What is the slope of the line determined by any two solutions to the equation $\frac{2}{x}+\frac{3}{y} = 0$? Express your answer as a common fraction.

 

Hello Rayjplayz!

 

    \(\large \frac{2}{x}+\frac{3}{y}=0\)               | common denominator

     \(\large\frac{2y+3x}{xy}=0\)                | \(\times xy\)

    \(2y+3x=0\)                 | \(-3x\)

              \(2y=-3x\)           | \(:2\)

               \(\large y=-\frac{3}{2}x\)

 

\( The\ slope\ of\ the\ equation\ is\ {\color{blue}-\frac{3}{2}}.\)

laugh  !

 Jun 23, 2020
edited by asinus  Jun 23, 2020
edited by asinus  Jun 23, 2020
 #2
avatar+52 
0

FTFY:

What is the slope of the line determined by any two solutions to the equation \( \frac{2}{x}+\frac{3}{y} = 0\) ?

Express your answer as a common fraction.

 Jun 23, 2020

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