Put the following equation of a line into slope-intercept form, simplifying all fractions.

9, y, minus, 3, x, equals, minus, 54
9y−3x=
−54

To put the equation 9y−3x=−54 into slope-intercept form, you need to isolate the variable, y, on one side of the equation.

First, move the term with -3x to the right side of the equation by adding 3x to both sides:
9y = 3x - 54

Next, divide both sides of the equation by 9 to solve for y:
y = (3/9)x - 6

Simplifying the fraction 3/9, you get:
y = (1/3)x - 6

Therefore, the equation in slope-intercept form is y = (1/3)x - 6.