Answer :

(-4, 0)

Explanation:[tex]9x\text{ + 4y = -}36[/tex]

To determine possible values of x and y , we would find the y and x intercept:

y-intercept: The value of y when x = 0

[tex]\begin{gathered} 9(0)\text{ + 4y = -36} \\ 0\text{ + 4y = -36} \\ 4y\text{ = -36} \\ y\text{ = }\frac{-36}{4} \\ y\text{ = -9} \end{gathered}[/tex]

x-intercept: The value of x when y = 0

[tex]\begin{gathered} 9x\text{ + 4(0) = -36} \\ 9x\text{ = -36} \\ \text{x = }\frac{-36}{9} \\ x\text{ = -4} \end{gathered}[/tex]

The possible x and y values can be (0, -9) or (-4, 0)