document.write( "Question 800183: write the equation for the line in y=mx+b form that is perpendicular to the line with equation y=-4/3x-4 that passes through the point (-5,6) \n" ); document.write( "
Algebra.Com's Answer #482987 by Cromlix(4381) You can put this solution on YOUR website! Lines that are perpendicular to one \n" ); document.write( "another have slopes that multiply \n" ); document.write( "together to give -1 \n" ); document.write( "m1 * m2 = -1 \n" ); document.write( "y = -4/3x-4 has a slope of -4/3 \n" ); document.write( "-4/3 * m2 = -1 \n" ); document.write( "m2 = 3/4. \n" ); document.write( "Using the slope 3/4 and the coordinates (-5,6) \n" ); document.write( "y = mx + c \n" ); document.write( "6 = 3/4(-5) + c \n" ); document.write( "6 = -15/4 + c \n" ); document.write( "c = 6 + 15/4 \n" ); document.write( "c = 39/4 \n" ); document.write( "Equation is: \n" ); document.write( "y = 3/4x + 39/4 \n" ); document.write( "OR multiply through by 4 \n" ); document.write( "4y = 3x + 39. \n" ); document.write( "Hope this helps. \n" ); document.write( ":-) \n" ); document.write( " |