the equation of the line is: 18y = 2x + 3
Explanations:The slope-intercept form of the equation of a line is:
y = mx + c
Where m is the slope
and c is the intercept
Slope, m = 1/9
Intercept, c = 1/6
Substituting the parameters above into the given equation:
[tex]\begin{gathered} y\text{ = }\frac{1}{9}x\text{ + }\frac{1}{6} \\ \text{Multiply through by 18} \\ 18y\text{ = 2x + 3} \end{gathered}[/tex]