What does 3y-6x-9 look like in slope intercept form?

To convert the equation (3y - 6x - 9 = 0) into slope-intercept form (y = mx + b), first isolate (y). Adding (6x) and (9) to both sides gives (3y = 6x + 9). Dividing everything by (3) results in (y = 2x + 3). Thus, the slope-intercept form is (y = 2x + 3), where the slope (m) is 2 and the y-intercept (b) is 3.