# Intercepts of $$$x^{2} - 4 y^{2} - 36 = 0$$$

### Your Input

**Find find the x- and y-intercepts of $$$x^{2} - 4 y^{2} - 36 = 0$$$.**

### Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$x^{2} - 36 = 0$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$- 4 y^{2} - 36 = 0$$$ for $$$y$$$ (use the equation solver).

### Answer

**x-intercepts: $$$\left(-6, 0\right)$$$, $$$\left(6, 0\right)$$$.**

**No y-intercepts.**

**Graph: see the graphing calculator.**