document.write( "Question 126008: Can you help me solve this: The line tha tis parallel to x-2y+7+0 and contains (-4,0). \n" ); document.write( "

Algebra.Com's Answer #92345 by josmiceli(19441) $\"\"$ $\"About$

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When a straight line equation is in the form $\"y+=+mx+%2B+b\"$
\n" ); document.write( "the slope of the line is $\"m\"$ , so the 1st step is to get the
\n" ); document.write( "equation in that form
\n" ); document.write( " $\"+x+-+2y+%2B+7+=+0\"$
\n" ); document.write( " $\"2y+=+x+%2B+7\"$
\n" ); document.write( " $\"y+=+%281%2F2%29x+%2B+%287%2F2%29\"$
\n" ); document.write( "The slope is $\"1%2F2\"$
\n" ); document.write( "Any line parallel to this line will also have $\"m+=+1%2F2\"$
\n" ); document.write( "I'll start with $\"y+=+mx+%2B+b\"$ I know what $\"m\"$ is
\n" ); document.write( " $\"y+=+%281%2F2%29x+%2B+b\"$
\n" ); document.write( "This line goes through (-4,0), so I'll plug this into equation
\n" ); document.write( " $\"0+=+%281%2F2%29%2A%28-4%29+%2B+b\"$
\n" ); document.write( " $\"0+=+-2+%2B+b\"$
\n" ); document.write( " $\"b+=+2\"$
\n" ); document.write( "Now I know $\"m\"$ and $\"b\"$
\n" ); document.write( " $\"y+=+%281%2F2%29x+%2B+2\"$ answer \n" ); document.write( "

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