document.write( "Question 106323This question is from textbook intermediate algebra
\n" ); document.write( ": parallel to x+4y=2; through (-1,3)
\n" ); document.write( "find an equation of each line in function notationsastisfying the conditions given. \n" ); document.write( "

Algebra.Com's Answer #77423 by josmiceli(19441) $\"\"$ $\"About$

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$\"x%2B4y+=+2\"$
\n" ); document.write( "put this in the form $\"y+=+mx+%2B+b\"$
\n" ); document.write( " $\"4y+=+-x+%2B+2\"$
\n" ); document.write( " $\"y+=+%28-1%2F4%29x+%2B+%281%2F2%29\"$
\n" ); document.write( "In this form, m is the slope
\n" ); document.write( " $\"m+=+-%281%2F4%29\"$
\n" ); document.write( "Any parallel line has the same slope, so the line I want is
\n" ); document.write( " $\"y+=+%28-1%2F4%29x+%2B+b\"$
\n" ); document.write( "Now I have to find $\"b\"$
\n" ); document.write( "The line I'm looking for goes through (-1,3)
\n" ); document.write( " $\"3+=+%28-1%2F4%29%28-1%29+%2B+b\"$
\n" ); document.write( " $\"3+=+1%2F4+%2B+b\"$
\n" ); document.write( " $\"b+=+3+-+%281%2F4%29\"$
\n" ); document.write( " $\"b+=+12%2F4+-+1%2F4\"$
\n" ); document.write( " $\"b+=+11%2F4\"$
\n" ); document.write( "So, my line is
\n" ); document.write( " $\"y+=+%28-1%2F4%29x+%2B+11%2F4\"$
\n" ); document.write( "or
\n" ); document.write( " $\"4y+=+-x+%2B+11\"$
\n" ); document.write( " $\"x+%2B+4y+=+11\"$ answer \n" ); document.write( "

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