Write the equation in slope-intercept form : 3x-9y=36

y = 1/3x -4

Step-by-step explanation:

Solve for y

3x-9y = 36

Subtract 3x

3x -3x-9y = -3x +36

-9y = -3x +36

Divide by -9

-9y/-9 = -3x/-9 + 36/-9

y = 1/3x -4

This is in slope intercept form ( y = mx+b) where m is the slope and b is the y intercept

Slope intercept form: y = mx + b

Solve for y:

3x - 9y = 36

~Subtract 3x to both sides

3x - 3x - 9y = 36 - 3x

~Simplify

-9y = 36 - 3x

~Divide -9 to both sides

-9y/-9 = 36/-9 - 3x/-9

~Simplify

y = -4 + 1/3x

Therefore, the answer is y = 1/3x - 4

Best of Luck!

no this is a nonlinear negative