document.write( "Question 332068: Please help me write the equation of the line parallel to 2x-6y=-1 and containing the x intercept of 4x-3y=12.\r
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\n" ); document.write( "\n" ); document.write( "please and thank you
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Algebra.Com's Answer #238155 by ankor@dixie-net.com(22740)\"\" \"About 
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the line parallel to 2x-6y=-1 and containing the x intercept of 4x-3y=12.
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\n" ); document.write( "parallel lines have the same slope, find the slope of 2x - 6y = -1
\n" ); document.write( "-6y = -2x - 1
\n" ); document.write( "y has to be positive, multiply by -1
\n" ); document.write( "6y = 2x + 1
\n" ); document.write( "Divide by 6
\n" ); document.write( "y = \"2%2F6\"x + \"1%2F6\"
\n" ); document.write( "y = \"1%2F3\"x + \"1%2F6\"
\n" ); document.write( "the slope = \"1%2F3\"
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\n" ); document.write( "Find the x intercept of 4x-3y=12.
\n" ); document.write( "x intercept occurs when y = 0,
\n" ); document.write( "4x - 3(0) = 12
\n" ); document.write( "4x = 12
\n" ); document.write( "x = 3 is the x intercept
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\n" ); document.write( "using the slope/intercept form; y = mx + b to find the equation
\n" ); document.write( "find b when y=0 and m=1/3 and x=3
\n" ); document.write( "0 = \"1%2F3\"(3) + b
\n" ); document.write( "0 = 1 + b
\n" ); document.write( "-1 = b
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\n" ); document.write( "The desired equation: y = \"1%2F3\"x - 1
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\n" ); document.write( "Looks like this
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-6%2C+6%2C+.33x-1%2C+1.33x-4%2C+.33x%2B1.83%29+\"
\n" ); document.write( "the desired equation is red
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