Answer
We use the slope and y-intercept to graph this equation.
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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.