Intercepts of $$$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$$$
Your Input
Find find the x- and y-intercepts of $$$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$$$.
Solution
To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$\frac{x^{2}}{36} = 1$$$ for $$$x$$$ (use the equation solver).
To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$\frac{y^{2}}{9} = 1$$$ for $$$y$$$ (use the equation solver).
Answer
x-intercepts: $$$\left(-6, 0\right)$$$, $$$\left(6, 0\right)$$$.
y-intercepts: $$$\left(0, -3\right)$$$, $$$\left(0, 3\right)$$$.
Graph: see the graphing calculator.