Question

whats the linear function in slope intercept form :
-6x+9y=54

Answer 1

9y  = 6x + 54
divide through by 9:-
y = 6/9y + 54/9


y = 2/3 x  + 6 <---- answer

Answer 2

The slope-intercept form is : $y=ax+b$ so all you have to do is solve for y

$^{-}6x+9y=54$                              Equation

$9y=6x+54$                                     Add 6x to both sides

$y= \frac{2}{3}x+6$                        Divide by 9 on both sides

Therefore the linear function is y=2/3x+6