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

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

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).

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.