## Elementary Technical Mathematics

The equation of line is $4x+6y=27$.
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}