document.write( "Question 726844: find the equation of a line that passes through the points(1/4,-1/3)(-1/4,-3) \n" ); document.write( "

Algebra.Com's Answer #444847 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
So I don't have to use fractions,
\n" ); document.write( "I'll say $\"+a+=+1%2F12+\"$ , so
\n" ); document.write( " $\"+1%2F4+=+3a+\"$
\n" ); document.write( " $\"+-1%2F4+=+-3a+\"$
\n" ); document.write( " $\"+-1%2F3+=+-4a+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "( 3a, -4a ), ( -3a, -3 )
\n" ); document.write( "Use point slope formula
\n" ); document.write( "

\n" ); document.write( " $\"+%28+y++%2B+3+%29+%2F+%28+x++%2B+3a+%29+=+%28+-4a+%2B+3+%29+%2F+%28+3a++%2B+3a+%29+\"$
\n" ); document.write( " $\"+%28+y++%2B+3+%29+%2F+%28+x++%2B+3a+%29+=+%28+-4a+%2B+3+%29+%2F+6a+\"$
\n" ); document.write( "Multiply both sides by $\"+6a%2A%28+x+%2B+3a+%29+\"$
\n" ); document.write( " $\"+6a%2A%28+y+%2B+3+%29+=+%28+-4a+%2B+3+%29%2A%28+x+%2B+3a+%29+\"$
\n" ); document.write( " $\"+6a%2Ay+%2B+18a+=+-4a%2Ax+%2B+3x+-12%2Aa%5E2+%2B+9a+\"$
\n" ); document.write( " $\"+6a%2Ay+=+%28+3+-+4a+%29%2Ax+-+12%2Aa%5E2+-+9a+\"$
\n" ); document.write( "Substitute $\"+a+=+1%2F12+\"$
\n" ); document.write( " $\"+%281%2F2%29%2Ay+=+%28+3+-+1%2F3+%29%2Ax+-+12%2A%281%2F144%29+-+9%2A%281%2F12%29+\"$
\n" ); document.write( " $\"+%281%2F2%29%2Ay+=+%28+8%2F3+%29%2Ax+-+1%2F12+-+9%2F12+\"$
\n" ); document.write( "Multiply both sides by $\"+12+\"$
\n" ); document.write( " $\"+6y+=+32x+-+10+\"$
\n" ); document.write( " $\"+y+=+%28+16%2F3+%29%2Ax+-+5%2F3+\"$
\n" ); document.write( "check:
\n" ); document.write( "does it go through ( 1/4, -1/3 ) ?
\n" ); document.write( " $\"+-1%2F3+=+%28+16%2F3+%29%2A%281%2F4%29+-+5%2F3+\"$
\n" ); document.write( " $\"+-1%2F3+=+4%2F3+-+5%2F3+\"$
\n" ); document.write( " $\"+-1%2F3+=+-1%2F3+\"$
\n" ); document.write( "OK -you can check the other point\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );