The graph is as follows:\r\n" );
document.write( "x axis left to right is -4 ,-2, 0, 2, 4 \r\n" );
document.write( "y axis bottom to top is the same as the x axis.\r\n" );
document.write( "There is an angular line from -4 x axis to -4 y axis\r\n" );
document.write( "The question reads: The graph represents which inequality?\r\n" );
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document.write( "You are given the graph of this line:\r\n" );
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document.write( "
\r\n" );
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document.write( "First we have to determine what EQUATION this line \r\n" );
document.write( "represents. Then we'll decide from that what \r\n" );
document.write( "INEQUALITY is represented by the graph.\r\n" );
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document.write( "The line goes through the points (-4,0) and (0,-4)\r\n" );
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document.write( "Therefore its slope is given by the formula:\r\n" );
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document.write( " y2 - y1\r\n" );
document.write( "m = ---------- \r\n" );
document.write( " x2 - x1\r\n" );
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document.write( "where (x1,y1) = (-4,0) and (x2,y2) = (0,-4) \r\n" );
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document.write( " (-4) - (0) -4 - 0 -4\r\n" );
document.write( "m = ------------- = -------- = ---- = -1\r\n" );
document.write( " (0) - (-4) 0 + 4 4 \r\n" );
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document.write( "Then we use the point-slope formula:\r\n" );
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document.write( "y - y1 = m(x - x1)\r\n" );
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document.write( "y - 0 = -1(x - (-4) )\r\n" );
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document.write( " y = -1(x + 4)\r\n" );
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document.write( " y = -x - 4\r\n" );
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document.write( "That's the EQUATION of the LINE only.\r\n" );
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document.write( "Now since I cannot see the drawing\r\n" );
document.write( "in your book or assignment, I cannot\r\n" );
document.write( "neither tell whether:\r\n" );
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document.write( "A. the line is a dotted line or a solid line\r\n" );
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document.write( "nor whether\r\n" );
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document.write( "B. the region above the line is shaded\r\n" );
document.write( " or whether the region below the line is \r\n" );
document.write( " shaded.\r\n" );
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document.write( "and you didn't tell us. So I'll give you all\r\n" );
document.write( "four possibilities:\r\n" );
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document.write( "1. If the line is DOTTED and the region ABOVE the\r\n" );
document.write( "line is shaded, then the INEQUALITY which \r\n" );
document.write( "represents the shaded region ONLY is y > -x - 4\r\n" );
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document.write( "2. If the line is DOTTED and the region BELOW the\r\n" );
document.write( "line is shaded, then the INEQUALITY which \r\n" );
document.write( "represents the shaded region ONLY is y < -x - 4\r\n" );
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document.write( "3. If the line is SOLID and the region ABOVE the\r\n" );
document.write( "line is shaded, then the INEQUALITY which\r\n" );
document.write( " represents BOTH the shaded region AND the line\r\n" );
document.write( "is y > -x - 4\r\n" );
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document.write( "4. If the line is SOLID and the region BELOW the\r\n" );
document.write( "line is shaded, then the INEQUALITY which\r\n" );
document.write( "represents BOTH the shaded region AND the line\r\n" );
document.write( "is y < -x - 4\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" );
document.write( "![\"\"](\"/images/stars/stars-12.gif\")
