document.write( "Question 682300: Writing answer in y=mx+b form determine an equation of the line satisfying the stated conditions...\r
\n" ); document.write( "\n" ); document.write( "through (1,-4)and parallel to the graph of 4x-2y=1. I do not know where to start??? \n" ); document.write( "

Algebra.Com's Answer #423120 by josmiceli(19441) $\"\"$ $\"About$

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When an equation is in the form $\"+y+=+m%2Ax+%2B+b+\"$
\n" ); document.write( " $\"+m+\"$ = slope of the line
\n" ); document.write( "First put the given equation into this form.
\n" ); document.write( " $\"+4x+-+2y+=+1+\"$
\n" ); document.write( "Add $\"+2y+\"$ to both sides
\n" ); document.write( " $\"+4x+=+2y+%2B+1+\"$
\n" ); document.write( "Subtract $\"+1+\"$ from both sides
\n" ); document.write( " $\"+2y+=+4x+-+1+\"$
\n" ); document.write( "Divide both sides by $\"+2+\"$
\n" ); document.write( " $\"+y+=+2x+-+1%2F2+\"$
\n" ); document.write( "Now you know that $\"+m+=+2+\"$ for this line
\n" ); document.write( "---------------
\n" ); document.write( "ANY line that is parallel to this line will have the same slope,
\n" ); document.write( "so at this point you have:
\n" ); document.write( " $\"+y+=+2x+%2B+b+\"$
\n" ); document.write( "All you need to find is $\"+b+\"$
\n" ); document.write( "---------------
\n" ); document.write( "The line goes through the point ( 1,-4)
\n" ); document.write( "This is in the format (x,y)
\n" ); document.write( "I can now say
\n" ); document.write( " $\"+-4+=+2%2A1+%2B+b+\"$
\n" ); document.write( " $\"+b+=+-4+-+2+\"$
\n" ); document.write( " $\"+b+=+-6+\"$
\n" ); document.write( "-----------
\n" ); document.write( "The solution is $\"+y+=+2x+-+6+\"$
\n" ); document.write( "Here is a plot of both lines:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+2x+-+1%2F2+%2C+2x+-+6+%29+\"$ \r
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