document.write( "Question 696034: Using the point-slope form of a line,y-4=-2(x+3)identify the slope. Transform this given equation into slope-intercept form. Graph the line on the grid provided and explain how you determined your graph. \n" ); document.write( "

Algebra.Com's Answer #428803 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+y+-+4+=+-2%2A%28+x+%2B+3%29+\"$
\n" ); document.write( " $\"+%28+y+-+4+%29+%2F+%28+x+%2B+3+%29+=+-2+\"$
\n" ); document.write( "This says ( change in y ) / ( change in x ) = slope
\n" ); document.write( "The general form is
\n" ); document.write( " $\"+%28+y+-+y%5B1%5D+%29+%2F+%28+x+-+x%5B1%5D+%29+=+m+\"$
\n" ); document.write( "where $\"m\"$ = slope and
\n" ); document.write( "( x[1], y[1] ) is a point on the line, so
\n" ); document.write( "( -3,4 ) is on the line, and the slope is $\"+-2+\"$
\n" ); document.write( "-----------------
\n" ); document.write( " $\"+y+-+4+=+-2%2A%28+x+%2B+3%29+\"$
\n" ); document.write( " $\"+y+-+4+=+-2x+-+6+\"$
\n" ); document.write( " $\"+y+=+-2x+-6+%2B+4+\"$
\n" ); document.write( " $\"+y+=+-2x+-+2+\"$
\n" ); document.write( "This is in slope-intercept form
\n" ); document.write( "check:
\n" ); document.write( "Does it go through (-3,4) ?
\n" ); document.write( " $\"+4+=+-2%2A%28-3%29+-+2+\"$
\n" ); document.write( " $\"+4+=+6+-+2+\"$
\n" ); document.write( " $\"+4+=+4+\"$
\n" ); document.write( "OK
\n" ); document.write( "here's the plot:
\n" ); document.write( " $\"+graph%28+400%2C+400%2C+-4%2C+4%2C+-4%2C+4%2C+-2x+-+2+%29+\"$ \r
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