document.write( "Question 197740: write an equation for the line that contains the point (4,-1) and is perpendicular to the equation y= -2/3x + 7 \n" ); document.write( "
Algebra.Com's Answer #148276 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Remember y=mx+b,,,,and perpendicular lines have slopes that are negative reciprocals \n" ); document.write( ". \n" ); document.write( "y= ( -2/3 ) x +7 \n" ); document.write( ". \n" ); document.write( "slope is -2/3,,,,,slope in perpendicular line is ( +3/2) \n" ); document.write( ". \n" ); document.write( "y= 3/2 x +b \n" ); document.write( ". \n" ); document.write( "at ( 4,-1) \n" ); document.write( ". \n" ); document.write( "(-1) = 3/2 (4) +b \n" ); document.write( ". \n" ); document.write( "-1 -6 = b \n" ); document.write( ". \n" ); document.write( "-7 = b \n" ); document.write( ". \n" ); document.write( "Inserting in y=mx+b,,,,,y= 3/2 x -7 \n" ); document.write( ". \n" ); document.write( "checking \n" ); document.write( "substitute ( 4, -1) into y = 3/2 x -7 \n" ); document.write( "-1 = (3/2)(4) -7 = -1 ,,,,ok \n" ); document.write( " |