document.write( "Question 470581: determin the equation of the line perpendicular to the line 3y+4x=1 passing through the point (-1,2) \n" ); document.write( "
Algebra.Com's Answer #322781 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 4 x + 3 y = 1 \n" ); document.write( "Find the slope of this line \n" ); document.write( "3y = -4 x + 1 \n" ); document.write( "Divide by 3 \n" ); document.write( " y = -4/3 x + 0.33 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = -4/3 \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal = 3/4 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be 0.75 0.75 = 0.75 \n" ); document.write( " \n" ); document.write( "m= 3/4 ,point (-1,2) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "2=-0.75 + b \n" ); document.write( "b= 2.75= 9/4 \n" ); document.write( "m= 3/4 \n" ); document.write( "The required equation is y= 3/ 4 x+9/4 \n" ); document.write( " \n" ); document.write( " |