3y=3x-6xy
You asked:
Investigate the equation: \(3 y = 3 x - 6 x y\).
MathBot Answer:
The graph of the equation \(3 y = 3 x - 6 x y\) is a hyperbola.
The coordinates of its foci are: \(\left(- \frac{\sqrt{2}}{2} - \frac{1}{2}, \frac{1}{2} + \frac{\sqrt{2}}{2}\right)\) and \(\left(- \frac{1}{2} + \frac{\sqrt{2}}{2}, \frac{1}{2} - \frac{\sqrt{2}}{2}\right)\).
The coordinates of its vertices are: \(\left(-1, 1\right)\) and \(\left(0, 0\right)\).
The asymptotes have equations: \(- 2 x - 1 = 0\) and \(y - \frac{1}{2} = 0\).