document.write( "Question 245648: What is the slope of the line that passes through (1,-3) and (-2,6)? \n" ); document.write( "
Algebra.Com's Answer #179835 by oberobic(2304)\"\" \"About 
You can put this solution on YOUR website!
We have two points:
\n" ); document.write( "(1, -3) = (x1, y1)
\n" ); document.write( "(-2, 6) = (x2, y2)
\n" ); document.write( ".
\n" ); document.write( "m = change in y divided by change in x
\n" ); document.write( "m = (y2-y1)/(x2-x1)
\n" ); document.write( "m = (6-(-3)) / (-2-1)
\n" ); document.write( "m = 9 / -3
\n" ); document.write( "m = -3
\n" ); document.write( ".
\n" ); document.write( "y = mx + b
\n" ); document.write( "So we can find b using either if the given points.
\n" ); document.write( "-3 = -3(1) + b
\n" ); document.write( "b = 0
\n" ); document.write( "We can use the other point to check our value for b
\n" ); document.write( "6 = -3(-2) + b
\n" ); document.write( "b = 0
\n" ); document.write( ".
\n" ); document.write( "We can graph this:
\n" ); document.write( "\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-3%2Ax%29\"
\n" ); document.write( ".
\n" ); document.write( "By inspection, we see the points are on the line. \n" ); document.write( "
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