### Instruction: 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.### Response: I notice that the equation involves fractions, so I want to get rid of them by multiplying both sides by the common denominator xy.
This gives me $2y+3x=0$, which I can rewrite as $y=-\frac{3}{2}x$.
Now I recognize that this is the equation of a line in slope-intercept form, where the slope is the coefficient of x and the y-intercept is the constant term.