document.write( "Question 1200271: Find the equation of the line through the points (-5,3) and (-6,-1). Express the equation of the line in slope=intercept form, y=mx+b.\r
\n" ); document.write( "\n" ); document.write( "So I know y2-y1/x2-x1 so I did that (-1-3/-6-(-5)=(-4/1)\r
\n" ); document.write( "\n" ); document.write( "y=mx+b so 3=-(4/1)(-5)+b
\n" ); document.write( "solved for that to get b=-17
\n" ); document.write( "y=(-4/1)x-17\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #834358 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Your slope calculation is a bit off.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This is what it should be
\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28-1+-+3%29%2F%28-6+-+%28-5%29%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28-1+-+3%29%2F%28-6+%2B+5%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+%28-4%29%2F%28-1%29\" Note the -1 in the denominator\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m+=+4\"
\n" ); document.write( "The slope is 4 aka 4/1.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A visual way to think of the slope:
\n" ); document.write( "To move from (-6,-1) to (-5,3) we move 4 units up and 1 unit to the right
\n" ); document.write( "
\n" ); document.write( "slope = rise/run = 4/1
\n" ); document.write( "rise = 4 = go up 4 units
\n" ); document.write( "run = 1 = go to the right 1 unit\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'll let you finish up.
\n" ); document.write( "
\n" ); document.write( "
\n" );