document.write( "Question 454641: Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answer for each step, but how you came to those answers. \n" ); document.write( "
Algebra.Com's Answer #313483 by lwsshak3(11628)\"\" \"About 
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Find an equation for the line parallel to the line -3x+6y=-2 having the same y-intercept as 2x-7y=4. I need to know how to solve this problem step by step please. Not just the answer for each step, but how you came to those answers.
\n" ); document.write( "..
\n" ); document.write( "-3x+6y=-2
\n" ); document.write( "rewrite to standard form:y=mx+b, m=slope, b=y-intercept
\n" ); document.write( "6y=3x-2
\n" ); document.write( "y=x/2-1/3
\n" ); document.write( "m=1/2, b=-1/3
\n" ); document.write( "..
\n" ); document.write( "2x-7y=4
\n" ); document.write( "7y=2x-4
\n" ); document.write( "y=2x/7-4/7
\n" ); document.write( "m=2/7, b=-4/7
\n" ); document.write( "..
\n" ); document.write( "Because new line is parallel to line of the first equation, it will have same slope as first equation, m=1/2
\n" ); document.write( "New line to have same y-intercept as second equation, b=-4/7
\n" ); document.write( "Equation of new line:
\n" ); document.write( "y=x/2-4/7
\n" ); document.write( "
\n" );