document.write( "Question 1205204: graph y=-2/3x+5
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Algebra.Com's Answer #841863 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor showed one way to graph the line, but I think you may just\r\n" );
document.write( "be starting graphing lines from their equations, and you need this more\r\n" );
document.write( "elementary method:\r\n" );
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document.write( "\"y=-expr%282%2F3%29x%2B5\". That is in slope-intercept form \"y=mx%2Bb\"\r\n" );
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document.write( "Some teachers teach it this way: \"b\" stands for \"BEGIN\" and \"m\" stands \r\n" );
document.write( "for \"MOVE\".  You BEGIN at the y-intercept, and then you MOVE from there, \r\n" );
document.write( "as described below:\r\n" );
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document.write( "the slope is \"m=-2%2F3\" and the y-intercept is \"b=5\".  The \r\n" );
document.write( "y-intercept, b, means that we BEGIN where the line intersects the y-axis\r\n" );
document.write( "at the point (0,b), which in this case is the point (0,5).\r\n" );
document.write( "[That's where you \"BEGIN\". (Think of \"b\" as if it stood for \"BEGIN\".)\r\n" );
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document.write( "So we mark the y-intercept point (0,5), like this:\r\n" );
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document.write( "Now we MOVE from the y-intercept (0,5):\r\n" );
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document.write( "1. The slope is negative so this means from that point we go DOWN the NUMERATOR of\r\n" );
document.write( "the slope. (When the slope is positive we go UP, but in this case we go DOWN).\r\n" );
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document.write( "The NUMERATOR of the slope, \"-2%2F3\" is 2, and negative, (or you can consider\r\n" );
document.write( "it -2, but either way we know from the sign, to draw the line segment DOWN from\r\n" );
document.write( "the y-intercept). So we draw a line segment from the y-intercept (0,5) DOWN 2\r\n" );
document.write( "units, from (0,5) to (0,3), like this:\r\n" );
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document.write( "2. Now from there, at the point (0,3), we draw a line TO THE RIGHT (ALWAYS to\r\n" );
document.write( "the RIGHT) the DENOMINATOR of the slope, which is 3 units RIGHT.  It goes from\r\n" );
document.write( "the point (0,3) to the RIGHT to the point (3,3), like this:\r\n" );
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document.write( "Finally we draw a line, through the point we BEGAN at (0,5), and the point we\r\n" );
document.write( "MOVED TO or ended up at, (3,3), and that is the graph of the line whose equation\r\n" );
document.write( "is \"y=-expr%282%2F3%29x%2B5\".\r\n" );
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document.write( "You should LEARN: \r\n" );
document.write( "1. that a line which has a POSITIVE number for its slope, always\r\n" );
document.write( "leans to the RIGHT, and a line which has a NEGATIVE number for its slope \r\n" );
document.write( "always leans to the LEFT, like this one.  \r\n" );
document.write( "2. that the GREATER the (absolute value) of the slope, the STEEPER the line.\r\n" );
document.write( "3. if the slope is 1 or -1, the line is at an angle of 45o.\r\n" );
document.write( "If the slope is a fraction or number less than 1 is not as steep as 45o and \r\n" );
document.write( "if the slope is a fraction or number greater than 1, it is steeper than 45o.\r\n" );
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document.write( "Edwin
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