document.write( "Question 197445: Please show me step by step to graph
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Algebra.Com's Answer #148063 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!
Edwin's explanation:
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document.write( "Find three points.  Actually two points is enough, as Jim Thompson\r\n" );
document.write( "has shown you in his good explanation. Trouble is, any two points \r\n" );
document.write( "are such that a straight line can be drawn through both of them.  \r\n" );
document.write( "And since people sometimes make mistakes we should get a third \r\n" );
document.write( "point as a check.  Then if you can't draw a straight line through \r\n" );
document.write( "all three of them, then you would know that there is a mistake in \r\n" );
document.write( "one of the three.\r\n" );
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document.write( "Let's make this table: \r\n" );
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document.write( "  x | y | (x,y) \r\n" );
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document.write( "    |   | ( , ) \r\n" );
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document.write( "    |   | ( , )\r\n" );
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document.write( "    |   | ( , )\r\n" );
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document.write( "Let's choose 0 for x for one point and choose 0 for y \r\n" );
document.write( "for a second point.  Such points are called the\r\n" );
document.write( "\"intercepts\".\r\n" );
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document.write( "Then for the third check point we can choose any number \r\n" );
document.write( "positive or negative.  I'll arbitrarily choose 1 for x,\r\n" );
document.write( "but you could choose any number for x or y.\r\n" );
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document.write( "  x | y | (x,y) \r\n" );
document.write( " ---------------\r\n" );
document.write( "  0 |   | (0, ) \r\n" );
document.write( "    | 0 | ( ,0)\r\n" );
document.write( "  1 |   | (1, )\r\n" );
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document.write( "To find the value of y that corresponds to x=0, we substitute\r\n" );
document.write( "0 for x in the equation:\r\n" );
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document.write( "So we fill in 3 for y, and we have:\r\n" );
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document.write( "  x | y | (x,y) \r\n" );
document.write( " ---------------\r\n" );
document.write( "  0 | 3 | (0,3) \r\n" );
document.write( "    | 0 | ( ,0)\r\n" );
document.write( "  1 |   | (1, )\r\n" );
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document.write( "To find the value of x that corresponds to y=0, we substitute\r\n" );
document.write( "0 for y in the equation:\r\n" );
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document.write( "So we fill in 2 for x, and we have:\r\n" );
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document.write( "  x | y | (x,y) \r\n" );
document.write( " ---------------\r\n" );
document.write( "  0 | 3 | (0,3) \r\n" );
document.write( "  2 | 0 | (2,0)\r\n" );
document.write( "  1 |   | (1, )\r\n" );
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document.write( "To find the value of x that corresponds to x=1, we substitute\r\n" );
document.write( "1 for x in the equation:\r\n" );
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document.write( "So we fill in 1.5 for x, and we have:\r\n" );
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document.write( "   x  |  y  | (x,y) \r\n" );
document.write( " -------------------\r\n" );
document.write( "   0  |  3  | (0,3)   \r\n" );
document.write( "   2  |  0  | (2,0)   \r\n" );
document.write( "   1  | 1.5 | (1,1.5)\r\n" );
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document.write( "   x  |  y  | (x,y) \r\n" );
document.write( " -------------------\r\n" );
document.write( "   0  |  3  | (0,3)   <--- that's the y-intercept \r\n" );
document.write( "   2  |  0  | (2,0)   <--- that's the x-intercept\r\n" );
document.write( "   1  | 1.5 | (1,1.5)\r\n" );
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document.write( "Now we plot those three points:\r\n" );
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document.write( "Now we take a ruler and draw a line through them:\r\n" );
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document.write( "Edwin

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