document.write( "Question 491148: Find the equation of the line that passes through th points (4, -2) & (6, -1) \n" ); document.write( "

Algebra.Com's Answer #334487 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(4, -2)
\n" ); document.write( "(6, -1)
\n" ); document.write( "The point-slope formula is
\n" ); document.write( " $\"+%28y+-%28-2%29%29+%2F+%28x+-+4%29+=+%28-1+-%28-2%29%29+%2F+%286+-+4%29+\"$
\n" ); document.write( " $\"+%28y+%2B+2%29+%2F+%28x+-+4%29+=+1+%2F+2+\"$
\n" ); document.write( "Multiply both sides by $\"+2%2A%28x-4%29+\"$
\n" ); document.write( " $\"+2%2A%28y+%2B+2%29+=+x+-+4+\"$
\n" ); document.write( " $\"+2y+%2B+4+=+x+-+4+\"$
\n" ); document.write( " $\"+2y+=+x+-+8+\"$
\n" ); document.write( " $\"+y+=+%281%2F2%29%2Ax+-+4+\"$ answer
\n" ); document.write( "---------------
\n" ); document.write( "check:
\n" ); document.write( "Do the given points fall on this line?
\n" ); document.write( "(4,-2)
\n" ); document.write( " $\"+-2+=+%281%2F2%29%2A4+-+4+\"$
\n" ); document.write( " $\"+-2+=+2+-+4\"$
\n" ); document.write( " $\"+-2+=+-2+\"$
\n" ); document.write( "and
\n" ); document.write( "(6,-1)
\n" ); document.write( " $\"+-1+=+%281%2F2%29%2A6+-+4+\"$
\n" ); document.write( " $\"+-1+=+3+-+4+\"$
\n" ); document.write( " $\"+-1+=+-1+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );