The general expression of line in the y intercept form is :
y = mx + b
The given expression is :
[tex]\begin{gathered} 3x\text{ +2y-18=0} \\ \text{ Simplify for y} \\ 2y\text{ =18-3x} \\ y=\frac{18-3x}{2} \\ y=9-\frac{3}{2}x \\ y=(-\frac{3}{2})x+9 \end{gathered}[/tex]Now for y intercept put x = 0
[tex]\begin{gathered} y=(-\frac{3}{2})x+9 \\ at\text{ x = 0} \\ y=(-\frac{3}{2})(0)+9 \\ y=9 \\ \text{ Thus, the y -intercept is y = 9} \end{gathered}[/tex]Answer : y = 9, (x,y) = (0,9)
