document.write( "Question 1084204: write an equation of a line (standard form) passing through A (-3,5) and perpendicular to a line passing through C (6,2) and D (1,3)\r
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Algebra.Com's Answer #698265 by josmiceli(19441)\"\" \"About 
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The line through C (6,2) and D (1,3)
\n" ); document.write( "has slope [ change in y ] / [ change in x ]
\n" ); document.write( "\"+m+=+%28+3+-+2+%29+%2F+%28+1+-+6+%29+\"
\n" ); document.write( "\"+m+=+1+%2F+%28-5%29+\"
\n" ); document.write( "--------------------
\n" ); document.write( "Any line perpendicular to this line
\n" ); document.write( "will have slope =
\n" ); document.write( "\"+m%5B1%5D+=+-1%2Fm+\"
\n" ); document.write( "\"+m%5B1%5D+=+-1%2F%28+-1%2F5+%29+\"
\n" ); document.write( "\"+m%5B1%5D+=+5+\"
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\n" ); document.write( "The unknown line goes through A( -3,5 )
\n" ); document.write( "I can use the general point-slope formula
\n" ); document.write( "\"+%28+y+-+5+%29+%2F+%28+x+-%28-3%29+%29+=+5+\"
\n" ); document.write( "\"+%28+y+-+5+%29+%2F+%28+x+%2B+3+%29+=+5+\"
\n" ); document.write( "\"+y+-+5+=+5%2A%28+x+%2B+3+%29+\"
\n" ); document.write( "\"+y+-+5+=+5x+%2B+15+\"
\n" ); document.write( "\"+5x+-+y+=+-20+\"
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\n" ); document.write( "Check:
\n" ); document.write( "Does it go through A( -3,5 ) ?
\n" ); document.write( "\"+5%2A%28-3%29+-+5+=+-20+\"
\n" ); document.write( "\"+-15+-+5+=+-20+\"
\n" ); document.write( "\"+-20+=+-20+\"
\n" ); document.write( "OK
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