Rewrite the equation 2x+3y=6 in slope-intercept form.

y = 2/3x + 2

y = 2/3x - 2.

Step-by-step explanation:

We essentially just want a y on the left side, so let's subtract 2x from both sides to get - 3y = - 2x + 6.

Lastly, let's divide both sides by - 3 to get y = 2/3x - 2.

Our equation is now in slope-intercept form, where the slope is 2/3 and our y-intercept is - 2.