document.write( "Question 1159377: What is the point and slope of the equation y + 7 = 1/2(x + 1) \n" ); document.write( "

Algebra.Com's Answer #782400 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "The slope is 1/2
\n" ); document.write( "The point the line goes through is (-1, -7)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "There are infinitely many points this line goes through, but the one point we can read directly from the point-slope equation is (-1,-7) because we can write
\n" ); document.write( " $\"y+%2B+7+=+expr%281%2F2%29%28x%2B1%29\"$
\n" ); document.write( "into
\n" ); document.write( " $\"y+-+%28-7%29+=+expr%281%2F2%29%28x-%28-1%29%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From here, we compare that to $\"y-y%5B1%5D+=+m%28x-x%5B1%5D%29\"$ and see that
\n" ); document.write( " $\"m+=+1%2F2\"$ is the slope and

is one point the line goes through.
\n" ); document.write( " \n" ); document.write( "

\n" );