document.write( "Question 545868: Find the equation of the line which is perpendicular to 3x-7y=-4 and passes through the point (-6,1) \n" ); document.write( "
Algebra.Com's Answer #355773 by mananth(16946)![]() ![]() You can put this solution on YOUR website! 3x-7y=-4 and passes through the point (-6,1)\r \n" ); document.write( "\n" ); document.write( "3 x -7 y = -4 \n" ); document.write( "Find the slope of this line \n" ); document.write( " \n" ); document.write( "-7 y = -3 x -4 \n" ); document.write( "Divide by -7 \n" ); document.write( " y = 3/ 7 x + 0.57 \n" ); document.write( "Compare this equation with y=mx+b, m= slope & b= y intercept \n" ); document.write( "slope m = 3/7 \n" ); document.write( " \n" ); document.write( "The slope of a line perpendicular to the above line will be the negative reciprocal -2.33 \n" ); document.write( "m1*m2=-1 \n" ); document.write( "The slope of the required line will be -7/3 \n" ); document.write( " \n" ); document.write( "m= -7/3 ,point (-6,1) \n" ); document.write( "Find b by plugging the values of m & the point in \n" ); document.write( "y=mx+b \n" ); document.write( "1 = 14.00 + b \n" ); document.write( "b= -13 \n" ); document.write( "m= -7/3 \n" ); document.write( "The required equation is y =-7/3 x-13 \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |