Answer:
[tex]y=-\frac{4}{9}x +\frac{2}{3}[/tex]
Step-by-step explanation:
I'm going to presume you want this linear equation in slope-intercept form, so start with:
[tex]6=4x+9y[/tex]
Subtract [tex]9y[/tex] from both sides of the equation:
[tex]-9y+6=4x[/tex]
Subtract [tex]6[/tex] from both sides of the equation:
[tex]-9y=4x-6[/tex]
Divide both sides of the equation by the coefficient of [tex]y[/tex], which is [tex]-9[/tex]:
[tex]y=\frac{4}{-9}x +\frac{-6}{-9}[/tex]
Simplify:
[tex]y=-\frac{4}{9}x +\frac{2}{3}[/tex]
