We use the slope and y-intercept to graph this equation.
Work Step by Step
Our equation given is: 3y+6=-2x Lets solve for y. First subtract 6 from both sides. 3y=-2x-6 (Divide by 3 to both sides) y=-2/3x-2 Now that we have the equation in slope-intercept form, lets use the slope (-2/3) and y-intercept (-2) to graph. First, start with the y-intercept (0,-2) Then go down 2 units and right 3 units since the slope is (-2/3). Plot the next point at that location. Continue doing this until you can connect all of the points and create a line. Once you have done that, you will have successfully graphed the equation.