Answer
see graph
Work Step by Step
Substituting $y=0$ in the given equation, $
2x+6y=9
,$ then
\begin{array}{l}\require{cancel}
2x+6(0)=9
\\\\
2x=9
\\\\
x=\dfrac{9}{2}
.\end{array}
The $x-$intercept is $\left(
\dfrac{9}{2}
,0\right)$.
Substituting $x=0$ in the given equation then
\begin{array}{l}\require{cancel}
2(0)+6y=9
\\\\
6y=9
\\\\
y=\dfrac{9}{6}
\\\\
y=\dfrac{3}{2}
.\end{array}
The $y-$intercept is $\left(0,
\dfrac{3}{2}
\right)$.
Using the intercepts, the graph is shown above.