Final answer:
To graph the equation 2/3x + y/3 = -1/3, rearrange it in slope-intercept form y = mx + b. Plot the y-intercept and use the slope to find another point. Draw a line through these two points to graph the equation.
Step-by-step explanation:
To graph the equation 2/3x + y/3 = -1/3, we can start by rearranging it in slope-intercept form: y = mx + b. In this case, m = -2/3 and b = -1/3. So, the equation becomes y = -2/3x - 1/3. To graph this equation, we can plot the y-intercept at (0, -1/3) and use the slope -2/3 to find another point on the line. From the y-intercept, we can move 1 unit to the right along the x-axis and 2 units down along the y-axis to find another point. We can then draw a straight line through these two points to represent the graph of the equation.