4yx+3=4-5x
You asked:
Investigate the equation: \(4 y x + 3 = 4 - 5 x\).
MathBot Answer:
The graph of the equation \(4 y x + 3 = 4 - 5 x\) is a hyperbola.
The coordinates of its foci are: \(\left(- \frac{\sqrt{2}}{2}, - \frac{5}{4} - \frac{\sqrt{2}}{2}\right)\) and \(\left(\frac{\sqrt{2}}{2}, - \frac{5}{4} + \frac{\sqrt{2}}{2}\right)\).
The coordinates of its vertices are: \(\left(- \frac{1}{2}, - \frac{7}{4}\right)\) and \(\left(\frac{1}{2}, - \frac{3}{4}\right)\).
The asymptotes have equations: \(- x = 0\) and \(- y - \frac{5}{4} = 0\).