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How do you find the slope given (2,4) (-1, 3)?

1 Answer

May 17, 2017

When given two points $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ , the slope, m, of the line through them is:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m = (y_2-y_1)/(x_2-x_1)$

Explanation:

Using the above information, the slope of the line through $(2, 4)$ $(2,4)$ and $(- 1, 3)$ $(-1, 3)$ is:

$m = \frac{3 - 4}{- 1 - 2}$ $m = (3-4)/(-1-2)$

$m = \frac{- 1}{- 3}$ $m = (-1)/(-3)$

$m = \frac{1}{3}$ $m = 1/3$

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