document.write( "Question 1167335: Find the equation of the line with a slope of -5 that goes through the point (6, -1). Show your work below for full credit.\r
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Algebra.Com's Answer #791919 by ikleyn(52908) 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-(-1) = (-5)*(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( " y+1 = -5x + 30, or, equivalently, 5x + y = 30 - 1,\r\n" ); document.write( "\r\n" ); document.write( "or, finally, 5x+y = 29. \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( " |