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