Intercepts of $$$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$$$

The calculator will find the the x- and y-intercepts of $$$\frac{x^{2}}{36} + \frac{y^{2}}{9} = 1$$$, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

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.