Slop mathematically proof of the formula division of raise by run Posted by Unknown , Wednesday, September 5, 2012 at 3:30 PM, in

As you might have probably knew that the formula to calculate a slope between two points (a line) is below:
m = raise / run where raise = y2 - y1 and run = x2 - x1 like following picture:

So have you wondered why we have to do it like that I mean
raise divide by run and why not run divide by raise or why not raise multiply by run something like that so in short do we have any mathematically proof that we have to divide raise by run?
The answer yes it has a mathematically proof in following link which usually if we just scan through it we probably miss the exact spot that it proof this division formula of the slope.
Here is the link:







http://en.wikipedia.org/wiki/Slope

Here is the exact spot to proof the division:

Click on the image to have a complete view:

And as we observer the formula came up like that because slop = tan of Angle and as we have studied math in high school tan of Angle = Opposite divide by Adjacent where Opposite is the raise (y2 - y1) and Adjacent is the run (x2 - x1) so that is it.

And finally to calculate the equation of y by x its formula is below:
y = m*x + b where b is the constant from zero points to x and y or x1, y1 as we can say.

So that is it.