document.write( "Question 1167388: -
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document.write( "Find the equation of the line that contains the given point and has the given slope.\r
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document.write( "P(6,2), m=-5/6 \n" );
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Algebra.Com's Answer #791984 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); 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" ); document.write( " \n" ); document.write( "\n" ); document.write( " y - b = m*(x-a). (1)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Simply substitute the given data into equation (1), and you will get\r\n" ); document.write( "\r\n" ); document.write( " y-2 = (-5/6)*(x-6). (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is the equation in the \"slope intercept form\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "If you want to get the standard form equation, simplify (2):\r\n" ); document.write( "\r\n" ); document.write( " 6y-12 = -5x + 30, or, equivalently, 5x + 6y = 30 + 12,\r\n" ); document.write( "\r\n" ); document.write( "or, finally, 5x+6y = 42. \r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See the lesson in this site\r \n" ); document.write( "\n" ); document.write( " - Equation for a straight line having a given slope and passing through a given point\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |