Answer
The equation of line is $4x+6y=27$.
Work Step by Step
The slope of the line $m=-\frac{2}{3}$ and the $y$ -intercept is $4.5$
$\begin{align}
& c=4.5 \\
& =\frac{45}{10} \\
& =\frac{9}{2}
\end{align}$
The equation of line in slope-intercept form is, $y=mx+c$
Therefore,
$\begin{align}
& y=mx+c \\
& =\left( -\frac{2}{3} \right)x+\frac{9}{2} \\
& =-\frac{2}{3}x+\frac{9}{2}
\end{align}$
Take the LCM,
$\begin{align}
& y=-\frac{2}{3}x+\frac{9}{2} \\
& y=\frac{-4x+27}{6} \\
& 6y=-4x+27 \\
& 4x+6y=27
\end{align}$
