What is the slope of the line passing through the following points: $(6, 2), (- 3, 9)$ $(6,2), (-3,9)$ ?

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Answer 1 · 2018-04-02T10:06:51

See a solution process below:

The formula for find the slope of a line is:

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

Where $(x_{1}, y_{1})$ $(color(blue)(x_1), color(blue)(y_1))$ and $(x_{2}, y_{2})$ $(color(red)(x_2), color(red)(y_2))$ are two points on the line.

Substituting the values from the points in the problem gives:

$m = \frac{9 - 2}{- 3 - 6} = \frac{7}{- 9} = - \frac{7}{9}$ $m = (color(red)(9) - color(blue)(2))/(color(red)(-3) - color(blue)(6)) = 7/-9 = -7/9$

What is the slope of the line passing through the following points: (6,2), (-3,9)(6,2),(−3,9) (6,2), (-3,9)?