document.write( "Question 518690: reasonableness: Which of the following order pairs is not included on the graph equation y=x+9
\n" ); document.write( "(7,16) (15,24)(20,29) (28,36) \n" ); document.write( "
Algebra.Com's Answer #345240 by Edwin McCravy(20055)\"\" \"About 
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y=x+9
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document.write( "Let's check to see if (7,16) is included on the graph of y-x+9.  \r\n" );
document.write( "The first coordinate of (7,16) is 7. That's the x-coordinate, \r\n" );
document.write( "so that's what we substitute for x.  So instead of the x in y=x+9 \r\n" );
document.write( "we will substitute 7.\r\n" );
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document.write( "The second coordinate of (7,16) is 16. That's the y-coordinate, \r\n" );
document.write( "so that's what we substitute for y.  So instead of the y in y=x+9 \r\n" );
document.write( "we will substitute 16.\r\n" );
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document.write( "So \r\n" );
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document.write( "y=x+9\r\n" );
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document.write( "becomes\r\n" );
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document.write( "16=7+9\r\n" );
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document.write( "and when we add 7+9 we get 16, so we end up with\r\n" );
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document.write( "16=16\r\n" );
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document.write( "So (7,16) is included on the graph of y=x+9\r\n" );
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document.write( "Next let's check to see if (15,24) is included on the graph of y-x+9.  \r\n" );
document.write( "The first coordinate of (15,24) is 15. That's the x-coordinate, \r\n" );
document.write( "so that's what we substitute for x.  So instead of the x in y=x+9 \r\n" );
document.write( "we will substitute 15.\r\n" );
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document.write( "The second coordinate of (15,24) is 24. That's the y-coordinate, \r\n" );
document.write( "so that's what we substitute for y.  So instead of the y in y=x+9 \r\n" );
document.write( "we will substitute 24.\r\n" );
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document.write( "So \r\n" );
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document.write( "y=x+9\r\n" );
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document.write( "becomes\r\n" );
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document.write( "24=15+9\r\n" );
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document.write( "and when we add 15+9 we get 24, so we end up with\r\n" );
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document.write( "24=24\r\n" );
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document.write( "So (15,24) is included on the graph of y=x+9\r\n" );
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document.write( "Next let's check to see if (20,29) is included on the graph of y-x+9.  \r\n" );
document.write( "The first coordinate of (20,29) is 20. That's the x-coordinate, \r\n" );
document.write( "so that's what we substitute for x.  So instead of the x in y=x+9 \r\n" );
document.write( "we will substitute 20.\r\n" );
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document.write( "The second coordinate of (20,29) is 29. That's the y-coordinate, \r\n" );
document.write( "so that's what we substitute for y.  So instead of the y in y=x+9 \r\n" );
document.write( "we will substitute 29.\r\n" );
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document.write( "So \r\n" );
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document.write( "y=x+9\r\n" );
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document.write( "becomes\r\n" );
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document.write( "29=20+9\r\n" );
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document.write( "and when we add 20+9 we get 29, so we end up with\r\n" );
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document.write( "29=29\r\n" );
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document.write( "So (20,29) is included on the graph of y=x+9\r\n" );
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document.write( "Finally let's check to see if (28,36) is included on the graph of y-x+9.  \r\n" );
document.write( "The first coordinate of (28,36) is 28. That's the x-coordinate, \r\n" );
document.write( "so that's what we substitute for x.  So instead of the x in y=x+9 \r\n" );
document.write( "we will substitute 28.\r\n" );
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document.write( "The second coordinate of (28,36) is 36. That's the y-coordinate, \r\n" );
document.write( "so that's what we substitute for y.  So instead of the y in y=x+9 \r\n" );
document.write( "we will substitute 36.\r\n" );
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document.write( "So \r\n" );
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document.write( "y=x+9\r\n" );
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document.write( "becomes\r\n" );
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document.write( "36=28+9\r\n" );
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document.write( "and when we add 28+9 we get 37, so we end up with\r\n" );
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document.write( "36=37\r\n" );
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document.write( "That's FALSE!  So (28,36) is NOT included on the graph of y=x+9\r\n" );
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document.write( "So the answer is (28,36).\r\n" );
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document.write( "Here's what we have shown about the graph.  The black line below\r\n" );
document.write( "is the graph of y=x+9, and you see that all the ordered pairs given\r\n" );
document.write( "represent points that are included in the line graph except (28,36),\r\n" );
document.write( "which is not on the line.\r\n" );
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document.write( "Edwin
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