The slope-intercept form is : [tex]y=ax+b[/tex] so all you have to do is solve for y
[tex]^{-}6x+9y=54 [/tex] Equation
[tex]9y=6x+54[/tex] Add 6x to both sides
[tex]y= \frac{2}{3}x+6 [/tex] Divide by 9 on both sides
Therefore the linear function is y=2/3x+6