Is rise over run the way you find slope?

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SUMMARY

The method to find the slope of a line is definitively calculated using the formula m = (Y2 - Y1) / (X2 - X1), which represents the rise over run. This formula can also be expressed as m = Δy / Δx, emphasizing the change in y-values divided by the change in x-values. Both expressions are equivalent and provide a clear mathematical approach to determining slope in coordinate geometry.

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Is rise over run the way you find slope?
 
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Yes it is. Its like saying

[tex]m = \frac{Y_2-Y_1}{X_2-X_1}[/tex]
 
Indeed, note that it is the 'change' in y-values divided by the 'change' in x-values. We can write this as (and this is equivalent to the expression above):

[tex]m = \frac{{\Delta y}}{{\Delta x}}[/tex]
 

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