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How do you find the slope of the line through (0, -2) and (6, -4)?

1 Answer

Sep 21, 2015

The line through $(0, - 2)$ $(0,-2)$ and $(6, - 4)$ $(6,-4)$ has a slope of $- \frac{1}{3}$ $-1/3$

Explanation:

Given two points $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ the slope of the line through those points is given by the formula:

$m=(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)$

For the given points this becomes:

$m=(-4 - (-2))/(6-0) = (-2)/(6) = -1/3$

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