5.6 Slope using coordinates

The formula for finding the slope of a straight line between (or through) two points is:

    \[m=\frac{y_2-y_1}{x_2-x_1}\]

One point has coordinates (x_1,y_1), the other has coordinates (x_2,y_2). It doesn’t matter which one is which, as long as whichever point is first on the top line is also first on the bottom line.

Example:

(x_1,y_1)=(0,6) and (x_2,y_2)=(3,30)

Therefore,

    \[m=\frac{y_2-y_1}{x_2-x_1}=\frac{30-6}{3-0}=\frac{24}{3}=8\]

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