document.write( "Question 1102491: Find the equation of the line joining the points (2, 11) and (4, 17) \n" ); document.write( "
Algebra.Com's Answer #717202 by ikleyn(52802)\"\" \"About 
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\n" ); document.write( "Find the equation of the line joining the points (2,11) and (4,17)
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document.write( "First, calculate the slope.\r\n" );
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document.write( "    The formula for the slope of a straight line passing through two given points    (\"x%5B1%5D\",\"y%5B1%5D\")    and    (\"x%5B2%5D\",\"y%5B2%5D\")    is\r\n" );
document.write( "        m = \"%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\".\r\n" );
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document.write( "    Substitute the given data  \"x%5B1%5D\" = 2,  \"y%5B1%5D\" = 11,  \"x%5B2%5D\" = 4, \"y%5B2%5D\" = 17  into the basic formula\r\n" );
document.write( "        m = \"%2817-11%29%2F%284-2%29\" = \"6%2F2\" = 3.\r\n" );
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document.write( "Next, find an equation of the line having the slope 3 and passing through the given point (2,11).\r\n" );
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document.write( "    An equation of a straight line in a coordinate plane which has the slope  m  and passes through the given point  P = (a,b)  is \r\n" );
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document.write( "        y - b = m*(x-a).     \r\n" );
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document.write( "    Substitute here  m = 3,  a = 2,  b = 11,  and you will get\r\n" );
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document.write( "        y - 11 = 3*(x-2).\r\n" );
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document.write( "    It is the equation in the slope-point form.\r\n" );
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document.write( "    If you want to have it in the slope-intercept form, transform it in this way\r\n" );
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document.write( "        y = 3x - 6 + 11,   or\r\n" );
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document.write( "        y = 3x + 5.\r\n" );
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\n" ); document.write( "See the lesson\r
\n" ); document.write( "\n" ); document.write( "    - Equation for a straight line in a coordinate plane passing through two given points\r
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