document.write( "Question 766006: determine the equation of a line passing through the point (3;-2) and hence the graph \n" ); document.write( "

Algebra.Com's Answer #466564 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
That's kind of a trick question. You
\n" ); document.write( "can draw an infinite number of
\n" ); document.write( "lines through any given point.
\n" ); document.write( "--------------------------
\n" ); document.write( "The best you can do is write a general
\n" ); document.write( "equation without a specified slope.
\n" ); document.write( "Let slope = $\"+m+\"$
\n" ); document.write( " $\"+%28+y+-+%28-2%29+%29+%2F+%28+x+-+3+%29+=+m+\"$
\n" ); document.write( " $\"+y+%2B+2+=+m%2A%28+x+-+3+%29+\"$
\n" ); document.write( " $\"+y+=+mx+-+%28+3m+%2B+2+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( "Let $\"+m+=+-4+\"$
\n" ); document.write( " $\"+y+=+-4x+-+%28+3%2A%28-4%29+%2B+2+%29+\"$
\n" ); document.write( " $\"+y+=+-4x+-%28+-10+%29+\"$
\n" ); document.write( " $\"+y+=+-4x+%2B+10+\"$
\n" ); document.write( "Does it go through ( 3,-2 )?
\n" ); document.write( " $\"+-2+=+-4%2A3+%2B+10+\"$
\n" ); document.write( " $\"+-2+=+-2+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );