document.write( "Question 548271: what is the equation of a line perpendicular to y=3x-7 and goes through (-3,-4) \n" ); document.write( "
Algebra.Com's Answer #356915 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 1 y = 3 x -7 \n" ); document.write( "Divide by 1 \n" ); document.write( " y = 3 x + -7 \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 \n" ); document.write( "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 ( -3 , -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=1.00+b \n" ); document.write( "b=-5 \n" ); document.write( "m= - 1/3 \n" ); document.write( "The required equation is y=- (1/3)x-5 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |