SOLUTION: Graph the inequality. Could you tell me if this is correct? Dashed line with points -3,0 and 0,-2 shaded below the line? -2x -3y is < or = 6

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Question 598795: Graph the inequality.
Could you tell me if this is correct? Dashed line with points -3,0 and 0,-2 shaded below the line?
-2x -3y is < or = 6

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The line -2x-3y=6 is indeed the line that passes through points (-3,0) and (0,-2).

The inequality -2x-3y%3C=6 includes all the points on that line, where -2x-3y=6 , so the line is graphed as a solid line to indicate that.
If the inequality was -2x-3y%3C6 , the line would be dashed to indicate that the line is not part of the solution.
To see what side of the line should be shaded, I always try to use a "test point" that makes my calculations easy. In this case, I would use the point (0,0). I would ask myself "Is (0,0) part of the solution?"
-2%2A0-3%2A0=0%3C6 , so (0,0) is part of the solution.
With the line graphed, I notice that (0,0) is above the line, so I would shade the region above the line.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-2x-3y%3C=6%29