document.write( "Question 872283: Write an equation of the line that is parallel to 2x + 4y = 6 and passes through the point (6, 4).
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Algebra.Com's Answer #526092 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Parallel to 2x+4y=6 and passing through(6,4)\r \n" ); document.write( "\n" ); document.write( "2 x 4 y = 6 \n" ); document.write( "Find the slope of this line \n" ); document.write( "make y the subject \n" ); document.write( "4 y = -2 x + 6 \n" ); document.write( "Divide by 4 \n" ); document.write( " y = - 1/2 x + 3/2 \n" ); document.write( "Compare this equation with y=mx+b \n" ); document.write( "slope m = - 1/2 \n" ); document.write( "The slope of a line parallel to the above line will be the same \n" ); document.write( "The slope of the required line will be - 1/2 \n" ); document.write( "m= - 1/2 ,point ( 6 , 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 = -3 + b \n" ); document.write( "b= 7 \n" ); document.write( "m= - 1/2 \n" ); document.write( "Plug value of the slope and b in y = mx +b \n" ); document.write( "The required equation is y = - 1/2 x + 7 \n" ); document.write( " \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |