document.write( "Question 186625This question is from textbook mathematical analysis
\n" ); document.write( ": passing through (-7,-5) and parallel to the line 3x+3y+6=0
\n" ); document.write( "please with full steps, thank you \n" ); document.write( "

Algebra.Com's Answer #139886 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
First, I'll find the slope of
\n" ); document.write( " $\"3x+%2B+3y+%2B+6+=+0\"$
\n" ); document.write( " $\"3y+=+-3x+-+6\"$
\n" ); document.write( " $\"y+=+-x+-+2\"$
\n" ); document.write( "This is in the form $\"y+=+mx+%2B+b\"$
\n" ); document.write( "where $\"m\"$ = slope, and
\n" ); document.write( " $\"m+=+-1\"$
\n" ); document.write( "Any line parallel to this one will
\n" ); document.write( "also have $\"m+=+-1\"$
\n" ); document.write( "The point-slope formula is
\n" ); document.write( " $\"%28y+-+y%5B1%5D%29%2F%28x+-+x%5B1%5D%29+=+m\"$
\n" ); document.write( "I'm given (-7,-5), so
\n" ); document.write( " $\"x%5B1%5D+=+-7\"$
\n" ); document.write( " $\"y%5B1%5D+=+-5\"$
\n" ); document.write( " $\"m+=+-1\"$
\n" ); document.write( " $\"%28y+-+%28-5%29%29%2F%28x+-+%28-7%29%29+=+-1\"$
\n" ); document.write( " $\"%28y+%2B+5%29%2F%28x+%2B+7%29+=+-1\"$
\n" ); document.write( "Multiply both sides by $\"x+%2B+7\"$
\n" ); document.write( " $\"y+%2B+5+=+-x+-+7\"$
\n" ); document.write( "Add $\"x+%2B+7\"$ to both sides
\n" ); document.write( " $\"x+%2B+y+%2B+12+=+0\"$ answer
\n" ); document.write( "check answer
\n" ); document.write( "Does it go through (-7,-5)?
\n" ); document.write( " $\"-7+-+5+%2B+12+=+0\"$
\n" ); document.write( " $\"-12+%2B+12+=+0\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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