document.write( "Question 568170: Write an equation of the line containing the given point and perpendicular to the given live(5,9) 3x+y=4 \n" ); document.write( "
Algebra.Com's Answer #366855 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 3 x + 1 y = 4 \n" ); document.write( "Find the slope of this line \n" ); document.write( " y = -3 x + 4 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = -3 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal \n" ); document.write( "m1*m2=-1 \n" ); document.write( " \n" ); document.write( "m= 1/3 ,point ( 5 , 9 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "9 = 1/ 3*5 + b \n" ); document.write( "b= 22/ 3 \n" ); document.write( "m= 1/3 \n" ); document.write( "The required equation is y = 1/ 3 x + 22/ 3 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |