document.write( "Question 1094690: Which equation represents the line that passes through the points (–3, 7) and (9, –1)? \n" ); document.write( "

Algebra.Com's Answer #709242 by josmiceli(19441) $\"\"$ $\"About$

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Use the general point-slope formula
\n" ); document.write( "( -3,7 )
\n" ); document.write( "( 9, -1 )
\n" ); document.write( " $\"+%28+y+-+%28-1%29+%29+%2F+%28+x+-+9+%29+=+%28+7+-%28-1%29+%29+%2F+%28+-3+-+9+%29+\"$
\n" ); document.write( " $\"+%28+y+%2B+1+%29+%2F+%28+x+-+9+%29+=+%28+7+%2B+1+%29+%2F+%28+-12+%29+\"$
\n" ); document.write( " $\"+%28+y+%2B+1+%29+%2F+%28+x+-+9+%29+=+-2%2F3+\"$
\n" ); document.write( "Multiply both sides by $\"+3%2A%28+x+-+9+%29+\"$
\n" ); document.write( " $\"+3%2A%28+y+%2B+1+%29+=+-2%2A%28+x+-+9+%29+\"$
\n" ); document.write( " $\"+3y+%2B+3+=+-2x+%2B+18+\"$
\n" ); document.write( " $\"+3y+=+-2x+%2B+15+\"$
\n" ); document.write( " $\"+y+=+%28-2%2F3%29%2Ax+%2B+5+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "check:
\n" ); document.write( "(-3,7 )
\n" ); document.write( " $\"+7+=+%28-2%2F3%29%2A%28-3%29+%2B+5+\"$
\n" ); document.write( " $\"+7+=+2+%2B+5+\"$
\n" ); document.write( " $\"+7+=+7+\"$
\n" ); document.write( "----------------
\n" ); document.write( "(9,-1)
\n" ); document.write( " $\"+-1+=+%28-2%2F3%29%2A9+%2B+5+\"$
\n" ); document.write( " $\"+-1+=+-6+%2B+5+\"$
\n" ); document.write( " $\"+-1+=+-1+\"$
\n" ); document.write( "OK \n" ); document.write( "

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