Question

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

Answer 1

\[\Large \begin{array}{l}
\frac{2}{x} + \frac{3}{y} = 0\\
\frac{3}{y} = - \frac{2}{x}\\
y = \frac{{ - 3x}}{2}
\end{array}\]