Work Step by Step
You are given $(2/3)x+y/3=-1/3$ To easily graph, you want to get $y$ all by itself on the left of the equals sign so that the equation will resemble $y=mx+b$. You can do this by multiplying everything by $3$ on both sides of the equation: $2x=y=-1$. Simply subtract $2x$ from both sides to isolate y: $y=-1-2x$. Since your equation is now in $y=mx+b$ format, it will be easy to graph. Your y-intercept is $b=-1$. Your slope is $m =-2/1$ meaning your next point will be 2 down the y axis and 3 to the right along the x axis from the previous point.