document.write( "Question 363351: equation of a line containing the given point and perpendicular to the given line: (4,-3);2x+7y=8 \n" ); document.write( "
Algebra.Com's Answer #259052 by amoresroy(361)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "2x+7y=8 \n" ); document.write( "7y = -2x + 8 \n" ); document.write( " y = -2/7*x + 8/7\r \n" ); document.write( "\n" ); document.write( "The slope of perpendicular line is negative reciprocal of -2/7 \n" ); document.write( "m = 7/2\r \n" ); document.write( "\n" ); document.write( "y = mx + b\r \n" ); document.write( "\n" ); document.write( "solve for b, given x =4, y=-3\r \n" ); document.write( "\n" ); document.write( "-3 = 7/2 * 4 + b\r \n" ); document.write( "\n" ); document.write( "-3 = 14 + b \n" ); document.write( "b = -17\r \n" ); document.write( "\n" ); document.write( "So equation of line is\r \n" ); document.write( "\n" ); document.write( "y = 7/2 * x - 17\r \n" ); document.write( "\n" ); document.write( "2y = 7x - 17\r \n" ); document.write( "\n" ); document.write( "17 = 7x - 2y\r \n" ); document.write( "\n" ); document.write( "7x - 2y = 17 \n" ); document.write( " |