1. Home
  2. Calculators
  3. Calculators: Algebra II
  4. Pre-Calculus Calculator

Intercepts of $$$4 x^{2} + 9 y^{2} - 36 = 0$$$

The calculator will find the the x- and y-intercepts of $$$4 x^{2} + 9 y^{2} - 36 = 0$$$, 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 $$$4 x^{2} + 9 y^{2} - 36 = 0$$$.

Solution

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

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$9 y^{2} - 36 = 0$$$ for $$$y$$$ (use the equation solver).

Answer

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

y-intercepts: $$$\left(0, -2\right)$$$, $$$\left(0, 2\right)$$$.

Graph: see the graphing calculator.