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# help

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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

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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

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

$$2y+3x=0$$                 | $$-3x$$

$$2y=-3x$$           | $$:2$$

$$\large y=-\frac{3}{2}x$$

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

!

Jun 23, 2020
edited by asinus  Jun 23, 2020
edited by asinus  Jun 23, 2020
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FTFY:

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