document.write( "Question 856427: Through (9,-4), perpendicular to -5x-4y=-29 \n" ); document.write( "
Algebra.Com's Answer #515930 by mananth(16949) You can put this solution on YOUR website! -5 x + -4 y = -29 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "-4 y = 5 x -29 \n" ); document.write( "Divide by -4 \n" ); document.write( " y = -5/ 4 x + 29/4 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \n" ); document.write( "slope m = -5/4 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal 4/5 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be 4/5 \n" ); document.write( " \n" ); document.write( "m= 4/5 ,point ( 9 , -4 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "-4 = 36/ 5 + b \n" ); document.write( "b= -56/5 \n" ); document.write( "m= 4/5 \n" ); document.write( "The required equation is y = 4/ 5 x -56/ 5 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |