+335 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.
+15000 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
\(\large\frac{2y+3x}{xy}=0\) | \(\times xy\)
\(2y+3x=0\) | \(-3x\)
\(2y=-3x\) | \(:2\)
\(\large y=-\frac{3}{2}x\)
\( The\ slope\ of\ the\ equation\ is\ {\color{blue}-\frac{3}{2}}.\)
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