document.write( "Question 553597: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y = mx+b.
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\n" ); document.write( "(2,9); x +3y = 4 The equation of the line is y= _____\r
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Algebra.Com's Answer #360964 by mananth(16949)\"\" \"About 
You can put this solution on YOUR website!
1 x + 3 y = 4
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "3 y = -1 x + 4
\n" ); document.write( "Divide by 3
\n" ); document.write( " y = - 1/ 3 x + 4/3
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = - 1/ 3
\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/ 3
\n" ); document.write( "m= - 1/ 3 ,point ( 2 , 9 )
\n" ); document.write( "Find b by plugging the values of m & the point in
\n" ); document.write( "y=mx+b
\n" ); document.write( "9 = - 2/ 3 + b
\n" ); document.write( "b= 29/3
\n" ); document.write( "m= - 1/3
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation isy = - 1/3 x + 29/3
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\n" ); document.write( "m.ananth@hotmail.ca
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