document.write( "Question 700344: A line passes through (9, –9) and (10, –5).Write an equation for the line in point-slope form.
\n" ); document.write( "Rewrite the equation in standard form using integers. Help please!!! \n" ); document.write( "

Algebra.Com's Answer #431803 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
P1 ( 9,-9 )
\n" ); document.write( "P2( 10,-5 )
\n" ); document.write( "The slope is ( change in y ) / ( change in x )
\n" ); document.write( " $\"+%28+-9+-%28-5%29+%29+%2F+%28+9+-+10+%29+=+-4+%2F+%28-1%29+\"$
\n" ); document.write( " $\"+-4+%2F+%28-1%29+=+4+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Now I can use either of the points and the slope
\n" ); document.write( "in the general point-slope formula
\n" ); document.write( " $\"+%28+y+-%28-5%29+%29+%2F+%28+x+-+10+%29+=+4+\"$
\n" ); document.write( " $\"+%28+y+%2B+5+%29+%2F+%28+x+-+10+%29+=+4+\"$
\n" ); document.write( " $\"+y+%2B+5+=++4%2A%28+x+-+10+%29+\"$
\n" ); document.write( " $\"+y+%2B+5+=+4x+-+40+\"$
\n" ); document.write( " $\"+y+=+4x+-+45+\"$
\n" ); document.write( "In standard form,
\n" ); document.write( " $\"+4x+-+y+=+45+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "check:
\n" ); document.write( "Does it go through ( 10, -5 ) ?
\n" ); document.write( " $\"+4x+-+y+=+45+\"$
\n" ); document.write( " $\"+4%2A10+%2B+5+=+45+\"$
\n" ); document.write( " $\"+40+%2B+5+=+45+\"$
\n" ); document.write( " $\"+45+=+45+\"$
\n" ); document.write( "OK
\n" ); document.write( "Does it go through ( 9,-9 ) ?
\n" ); document.write( " $\"+4%2A9+-%28-9%29+=+45+\"$
\n" ); document.write( " $\"+36+%2B+9+=+45+\"$
\n" ); document.write( " $\"+45+=+45+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "
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