Answer
$y=-\dfrac{4}{9}x+\dfrac{11}{9}$
Work Step by Step
Using the properties of equality, in terms of $
y
,$ the given equation, $
4x+9y=11
,$ is equivalent to
\begin{array}{l}\require{cancel}
9y=-4x+11
\\\\
y=\dfrac{-4}{9}x+\dfrac{11}{9}
\\\\
y=-\dfrac{4}{9}x+\dfrac{11}{9}
.\end{array}