document.write( "Question 581572: find an equation of the line through (8,-4) and parallel to 8x+5y=2 \n" ); document.write( "
Algebra.Com's Answer #371707 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
First find the slope of the equation by
\n" ); document.write( "putting it in the form \"+y+=+mx+%2B+b+\"
\n" ); document.write( "where \"m\" = slope
\n" ); document.write( "\"+8x+%2B+5y+=+2+\"
\n" ); document.write( "\"+5y+=+-8x+%2B+2+\"
\n" ); document.write( "\"+y+=+-%288%2F5%29%2Ax+%2B+2%2F5+\"
\n" ); document.write( "The slope is \"+-%288%2F5%29+\"
\n" ); document.write( "Any line parallel to this line will also
\n" ); document.write( "have slope = \"+-%288%2F5%29+\"
\n" ); document.write( "------------------
\n" ); document.write( "(8,-4)
\n" ); document.write( "Use the point-slope formula
\n" ); document.write( "\"+%28+y+-+%28-4%29+%29+%2F+%28+x+-+8+%29+=+-%288%2F5%29+\"
\n" ); document.write( "Multiply both sides by \"+5%2A%28+x-8+%29+\"
\n" ); document.write( "\"+5%2A%28+y+%2B+4+%29+=+%28-8%29%2A%28+x+-+8+%29+\"
\n" ); document.write( "\"+5y+%2B+20+=+-8x+%2B+64+\"
\n" ); document.write( "\"+8x+%2B+5y+=+-20+%2B+64+\"
\n" ); document.write( "\"+8x+%2B+5y+=+44+\"
\n" ); document.write( "--------------
\n" ); document.write( "Check:
\n" ); document.write( "what is the slope?
\n" ); document.write( "\"+8x+%2B+5y+=+44+\"
\n" ); document.write( "\"+5y+=+-8x+%2B+44+\"
\n" ); document.write( "\"+y+=+-%288%2F5%29%2Ax+%2B+44%2F5+\"
\n" ); document.write( "slope is \"+-%288%2F5%29+\"
\n" ); document.write( "does it go through (8,-4) ?
\n" ); document.write( "\"+8x+%2B+5y+=+44+\"
\n" ); document.write( "\"+8%2A8+%2B+5%2A%28-4%29+=+44+\"
\n" ); document.write( "\"+64+-+20+=+44+\"
\n" ); document.write( "\"+44=+44+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );