Answer
see graph
Work Step by Step
Using the properties of equality, the given equation, $
4x+6y=7
,$ is equivalent to
\begin{array}{l}\require{cancel}
6y=-4x+7
\\\\
y=-\dfrac{2}{3}x+\dfrac{7}{6}
.\end{array}
Using the table of values below, the graph is shown above.