Given:
[tex]y=-\frac{2}{9}x+3[/tex]The equation above is written in slope intercept form:
y = mx + b
To rewrite in standard form, use the standard form of linear equations below:
Ax + By = C
Thus, we have:
[tex]y=-\frac{2}{9}x+3[/tex]Multiply through by 9 to eliminate the fraction:
[tex]\begin{gathered} 9y=(-\frac{2}{9}x\ast9)+(3\ast9) \\ \\ 9y=-2x+27 \end{gathered}[/tex]Add 2x to both sides:
[tex]\begin{gathered} 2x\text{ + 9y = -2x + 2x + 27} \\ \\ 2x\text{ + 9y = 27} \end{gathered}[/tex]Therefore, the equation in standard form is:
2x + 9y = 27
ANSWER:
D. 2x + 9y = 27
