Answer :
The inequality is:
[tex]4x+5y>36[/tex]To find the equation of the boundary line we need change the inequality sign for an equal sign and solve for y.
[tex]\begin{gathered} 4x+5y=36 \\ 5y=-4x+36 \\ y=-\frac{4}{5}x+\frac{36}{5} \end{gathered}[/tex]Therefore, the boundary line is:
[tex]y=-\frac{4}{5}x+\frac{36}{5}[/tex]