document.write( "Question 173933: Write an equation in standard form of the line satisfying the given conditions for $\"m=-3%2F5%2C+passes+through+%2810%2C1%29\"$ \n" ); document.write( "

Algebra.Com's Answer #128827 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The point-slope equation is
\n" ); document.write( " $\"m+=+%28y+-+y%5B1%5D%29+%2F+%28x+-+x%5B1%5D%29\"$
\n" ); document.write( " $\"-%283%2F5%29+=+%28y+-+1%29+%2F+%28x+-+10%29\"$
\n" ); document.write( "multiply both sides by $\"x+-+10\"$
\n" ); document.write( " $\"-%283%2F5%29%2A%28x+-+10%29+=+y+-+1\"$
\n" ); document.write( " $\"y+=+-%283%2F5%29%2Ax+%2B+6+%2B+1\"$
\n" ); document.write( " $\"5y+=+-3x+%2B+35\"$
\n" ); document.write( " $\"-3x+-+5y+%2B+35+=+0\"$
\n" ); document.write( "Multiply both sides by $\"-1\"$
\n" ); document.write( " $\"3x+%2B+5y+-+35+=+0\"$ answer
\n" ); document.write( "check:
\n" ); document.write( "does it go through (10,1)?
\n" ); document.write( " $\"3%2A10+%2B+5%2A1+-+35+=+0\"$
\n" ); document.write( " $\"30+%2B+5+-+35+=+0\"$
\n" ); document.write( " $\"+0+=+0\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );