To put the equation 3y - 9x = -6 into slope-intercept form, we need to isolate y on one side of the equation.
First, we will add 9x to both sides:
3y - 9x + 9x = 9x - 6
Simplifying the left side of the equation:
3y = 9x - 6
Next, we will divide both sides by 3:
y = 3x - 2
This is the equation in slope-intercept form, where the slope is 3 and the y-intercept is -2.