Respuesta :

To write the equation in slope intercept form, solve the standard form for y, it means, clear y from the equation:

[tex]\begin{gathered} 5x-9y=4 \\ -9y=-5x+4 \\ y=-\frac{5x}{-9}+\frac{4}{-9} \\ y=\frac{5}{9}x-\frac{4}{9} \end{gathered}[/tex]