document.write( "Question 549157: i need the graph for y<2x+4 and -3x-2y>=6 \n" ); document.write( "
Algebra.Com's Answer #357756 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! i need the graph for y<2x+4 and -3x-2y>=6 \n" ); document.write( "** \n" ); document.write( "I don't have the means to graph for you, but I can show you what must be done. \n" ); document.write( ".. \n" ); document.write( "y<2x+4 \n" ); document.write( "This equation says y is less than all the values below the straight line, 2x+4. \n" ); document.write( "To graph, draw a dashed line which has a slope of 2 and y-intercept=4, or plot points. \n" ); document.write( "The dashed line means y-values on the line are not included in the inequality. To finish the graph, shade the area below the dashed line which covers all the y-values which satisfy the inequality \n" ); document.write( ".. \n" ); document.write( "-3x-2y≥6 \n" ); document.write( "-2y≥3x+6 \n" ); document.write( "divide by -2 and reverse inequality sign \n" ); document.write( "y≤-3x/2-3 \n" ); document.write( "This equation says y is less than all the values below and on the straight line, -3x/2-3 \n" ); document.write( "To graph, draw a solid line which has a slope of -3/2 and y-intercept=-6, or plot points. \n" ); document.write( "The solid line means y-values on the line are included in the inequality. To finish the graph, shade the area below the solid line which covers all the y-values which satisfy the inequality \n" ); document.write( ".. \n" ); document.write( "Finding point of intersection: \n" ); document.write( "2x+4=-3x/2-3 \n" ); document.write( "4x+8=-3x-6 \n" ); document.write( "7x=-14 \n" ); document.write( "x=-2 \n" ); document.write( "y=2x+4=-4+4=0 \n" ); document.write( "point of intersection (-2,0) \n" ); document.write( "If you draw your graphs correctly, the lines will cross at these coordinates and you will have overlapping of areas starting from this point. \n" ); document.write( " |