Standard Form of LIne:
[tex]Ax+By=C[/tex]So, that is basically putting x and y's to the left side and the constant to the right side.
We have:
[tex]y=\frac{2}{3}x+8[/tex]Let's get rid of the fraction by multiplying the whole equation by 3, to get:
[tex]\begin{gathered} 3\times(y=\frac{2}{3}x+8) \\ 3y=2x+24 \end{gathered}[/tex]Now re-arranging and putting in standard form:
[tex]-2x+3y=24[/tex]