document.write( "Question 676458: Find the slope of a line perpendicular to the line through the points (2,4) and (-12,8) \n" ); document.write( "
Algebra.Com's Answer #420357 by khurshidi(7)![]() ![]() You can put this solution on YOUR website! Find the slope of a line perpendicular to the line through the points (2,4) and (-12,8)\r \n" ); document.write( "\n" ); document.write( "Solution:\r \n" ); document.write( "\n" ); document.write( "Two points given are \n" ); document.write( "P = (2, 4) = (x1, y1) \n" ); document.write( "Q = (-12, 8) = (x2, y2)\r \n" ); document.write( "\n" ); document.write( "Slope of the line PQ \n" ); document.write( "m1 = y2-y1/x2-x1 = 8 - 4/-12 - 2 = 4/-14 = -2/7\r \n" ); document.write( "\n" ); document.write( "There fore\r \n" ); document.write( "\n" ); document.write( "m1 = -2/7\r \n" ); document.write( "\n" ); document.write( "The slope of the line perpendicular to the given line PQ will be the negative reciprocal of the slope of the line PQ\r \n" ); document.write( "\n" ); document.write( "i.e.\r \n" ); document.write( "\n" ); document.write( "m2 = -1/m1 \n" ); document.write( "(m2 is the slope of the line perpendicular to the slope of the given line PQ)\r \n" ); document.write( "\n" ); document.write( "m2 = -1/-2/7\r \n" ); document.write( "\n" ); document.write( "or\r \n" ); document.write( "\n" ); document.write( "m2 = 7/2\r \n" ); document.write( "\n" ); document.write( "This is the required slope of the line perpendicular to the line through the points (2, 4) and (-12, 8).\r \n" ); document.write( "\n" ); document.write( "Hope the answer your question\r \n" ); document.write( "\n" ); document.write( "Regards,\r \n" ); document.write( "\n" ); document.write( "Khurshidi \n" ); document.write( "http://sscom.netai.net \n" ); document.write( "facebook.com/SSCOMMathemagics \n" ); document.write( " |