document.write( "Question 86854: find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following:
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document.write( "passes through (5, -9) and is perpendicular to the line whose equation is y=1/7x +4
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Algebra.Com's Answer #62828 by praseenakos@yahoo.com(507)![]() ![]() You can put this solution on YOUR website! Question:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following: \n" ); document.write( "passes through (5, -9) and is perpendicular to the line whose equation is y=1/7x +4\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Equation of the required equation is given by the formula, \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y - y1) = m ( x- x1)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Here (x1, y1) = (5, -9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Required line is perpendicular to \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Slope of this line is \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So slope of the required line is = \n" ); document.write( "since these lines are perpendicular to each other, the product of their slopes should be -1\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> slope of the required line = -7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So equation of the rquired line,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> ( y - (-5) = -7 ( x - 5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y + 5 = -7x + 35\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 5 from both sides.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y + 5 - 5 = -7x + 35 - 5 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "==> y = -7x + 30\r \n" ); document.write( "\n" ); document.write( "Which is the required equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope you found the explanation useful.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Warm Regards.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Praseena.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |