How to put 2x + 3y = 6 into slope intercept form

To put the equation 2x + 3y = 6 into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

1. Subtract 2x from both sides:
3y = -2x + 6

2. Divide both sides by 3 to solve for y:
y = (-2/3)x + 2

Now, the equation is in slope-intercept form with a slope of -2/3 and a y-intercept of (0,2).