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

Algebra.Com's Answer #378706 by KMST(5328) $\"\"$ $\"About$

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).
\n" ); document.write( "

\n" ); document.write( "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.
\n" ); document.write( "If the inequality was $\"-2x-3y%3C6\"$ , the line would be dashed to indicate that the line is not part of the solution.
\n" ); document.write( "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?\"
\n" ); document.write( " $\"-2%2A0-3%2A0=0%3C6\"$ , so (0,0) is part of the solution.
\n" ); document.write( "With the line graphed, I notice that (0,0) is above the line, so I would shade the region above the line.
\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C-2x-3y%3C=6%29\"$ \n" ); document.write( "

\n" );