document.write( "Question 261772: find an equation of the line passing through (-4,7) and parallel to the graph of 2x+y=5. write the equation in slope intercept from. \n" ); document.write( "

Algebra.Com's Answer #192893 by josmiceli(19441) $\"\"$ $\"About$

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First get $\"2x+%2B+y+=+5\"$ in the slope intercept form
\n" ); document.write( " $\"y+=+-2x+%2B+5\"$
\n" ); document.write( "This is now in the form $\"y+=+mx+%2B+b\"$
\n" ); document.write( "where $\"m\"$ is the slope, so the slope is
\n" ); document.write( " $\"-2\"$
\n" ); document.write( "Any line which is parallel to this line will also have
\n" ); document.write( "slope = $\"-2\"$
\n" ); document.write( "Now you know a point on the line you're looking for,
\n" ); document.write( "(-4,7), and the slope, $\"-2\"$ . The correct formula to use
\n" ); document.write( "now is $\"%28y+-+y%5B1%5D%29%2F%28x+-+x%5B1%5D%29+=+m\"$
\n" ); document.write( "where
\n" ); document.write( " $\"y%5B1%5D+=+7\"$ ,
\n" ); document.write( " $\"x%5B1%5D+=+-4\"$ ,
\n" ); document.write( " $\"m+=+-2\"$
\n" ); document.write( " $\"%28y+-+7%29%2F%28x+-+%28-4%29%29+=+-2\"$
\n" ); document.write( " $\"y+-+7+=+-2%2A%28x+%2B+4%29\"$
\n" ); document.write( " $\"y+-+7+=+-2x+-+8\"$
\n" ); document.write( " $\"y+=+-2x+-+1\"$ answer
\n" ); document.write( "check answer
\n" ); document.write( "does it go through (-4,7)?
\n" ); document.write( " $\"7+=+-2%2A%28-4%29+-+1\"$
\n" ); document.write( " $\"7+=+8+-+1\"$
\n" ); document.write( " $\"7+=+7\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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