document.write( "Question 670452: what equasion is perpendicular to 3x+y=1 and passes through the point (-2,1)? \n" ); document.write( "
Algebra.Com's Answer #416930 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 3 x + 1 y = 1 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "1 y = -3 x + 1 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = -3 x + 1 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \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 1/3 \n" ); document.write( "Because m1*m2 =-1 \n" ); document.write( "The slope of the required line will be 1/3 \n" ); document.write( " \n" ); document.write( "m= 1/3 ,point ( -2 , 1 ) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "1 = - 2/ 3 + b \n" ); document.write( "b= 5/3 \n" ); document.write( "m= 1/3 \n" ); document.write( "The required equation is y = 1/ 3 x + 5/ 3 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |