# Intercepts of $$$2 x^{2} + 9 y^{2} - 18 = 0$$$

### Your Input

**Find find the x- and y-intercepts of $$$2 x^{2} + 9 y^{2} - 18 = 0$$$.**

### Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$2 x^{2} - 18 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$9 y^{2} - 18 = 0$$$ for $$$y$$$ (use the equation solver).

### Answer

**x-intercepts: $$$\left(-3, 0\right)$$$, $$$\left(3, 0\right)$$$.**

**y-intercepts: $$$\left(0, \sqrt{2}\right)\approx \left(0, 1.414213562373095\right)$$$, $$$\left(0, - \sqrt{2}\right)\approx \left(0, -1.414213562373095\right)$$$.**

**Graph: see the graphing calculator.**