document.write( "Question 566107: What is the slope of line that passes through the points (7,-2) and (-1,-5)? \n" ); document.write( "
Algebra.Com's Answer #366116 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "There are two methods.  By graph, and by formula.  Plot the two points:\r\n" );
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document.write( "(7,-2) and (-1,-5)\r\n" );
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document.write( "Draw a line through them\r\n" );
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document.write( "Draw a green run and a red rise:\r\n" );
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document.write( "Count how many units the green run is long:\r\n" );
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document.write( "So we see that the run is 8 units ling.\r\n" );
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document.write( "Next, count how many units the red rise is long:\r\n" );
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document.write( "So we see that the rise is 3 units long.\r\n" );
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document.write( "To get the slope we put the rise over the run, like this:\r\n" );
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document.write( "slope = \"%28rise%29%2F%28run%29\" = \"3%2F8\"\r\n" );
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document.write( "That's the answer.\r\n" );
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document.write( "Method 2: by the slope formula\r\n" );
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document.write( "m = \"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\" with (x1, y1) = (7,-2) and (x2, y2) = (-1,-5)\r\n" );
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document.write( "m = \"%28%28-5%29-%28-2%29%29%2F%28%28-1%29-%287%29%29\" = \"%28-5%2B2%29%2F%28-1-7%29\" = \"%28-3%29%2F%28-8%29\" = \"3%2F8\"\r\n" );
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document.write( "Even if you use the slope formula, you must realize that what you actually\r\n" );
document.write( "have is a measurement of the steepness of the line that connects the two\r\n" );
document.write( "points, and not just a number to put on a test so the teacher will mark it\r\n" );
document.write( "correct. :)\r\n" );
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document.write( "Edwin
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