document.write( "Question 632316: find the equation of the line passing (0,1) parallel to the line 2x-3y=6 \n" ); document.write( "

Algebra.Com's Answer #398187 by mananth(16946) $\"\"$ $\"About$

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2 x -3 y = 6
\n" ); document.write( "Find the slope of this line
\n" ); document.write( "make y the subject
\n" ); document.write( "-3 y = -2 x + 6
\n" ); document.write( "Divide by -3
\n" ); document.write( " y = 2/3 x -2
\n" ); document.write( "Compare this equation with y=mx+b
\n" ); document.write( "slope m = 2/3
\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 2/3
\n" ); document.write( "m= 2/3 ,point ( 0 , 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 = 0 + b
\n" ); document.write( "b= 1
\n" ); document.write( "m= 2/3
\n" ); document.write( "Plug value of the slope and b in y = mx +b
\n" ); document.write( "The required equation is y = 2/3 x + 1
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\n" ); document.write( "m.ananth@hotmail.ca
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