document.write( "Question 1062203: Write the point slope form of the equation of the horizontal line that passes through the point (2,1) \n" ); document.write( "
Algebra.Com's Answer #677033 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Write the point slope form of the equation of the
\n" ); document.write( "horizontal line that passes through the point (2,1)
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document.write( "Let's plot the point (2,1):\r\n" );
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document.write( "Next let's draw a horizontal line through it (in green):\r\n" );
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document.write( "Now let's plot another point on that line, say the point\r\n" );
document.write( "(-3,1)\r\n" );
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document.write( "Now we use the slope formula:\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%28%281%29-%281%29%29%2F%28%282%29-%28-3%29%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"%281-1%29%2F%282%2B3%29\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"0%2F5\"\r\n" );
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document.write( "\"m\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "Now use the slope-intercept form:\r\n" );
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document.write( "\"y-y%5B1%5D\"\"%22%22=%22%22\"\"m%28x-x%5B1%5D%29\"\r\n" );
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document.write( "\"y-1\"\"%22%22=%22%22\"\"0%28x-2%29\"\r\n" );
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document.write( "\"y-1\"\"%22%22=%22%22\"\"0\"\r\n" );
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document.write( "\"y\"\"%22%22=%22%22\"\"1\"\r\n" );
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document.write( "A much easier way is just to observe that every point\r\n" );
document.write( "on that horizontal line will have the same y-coordinate,\r\n" );
document.write( "so since the point (2,1) has the y-coordinate 1, that means\r\n" );
document.write( "all values of y on this line will also be 1.  So we could\r\n" );
document.write( "just have written down the equation\r\n" );
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document.write( "y = 1\r\n" );
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document.write( "in the beginning in one step!!!\r\n" );
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document.write( "Edwin
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