What is the slope of the line joining $(2, 12) and (6, 11) ?$ $(2, 12) and (6, 11)?$

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Answer 1 · 2018-05-23T18:11:33

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:

$m = \frac{11 - 12}{6 - 2} = - \frac{1}{4}$ $m = (color(red)(11) - color(blue)(12))/(color(red)(6) - color(blue)(2)) = -1/4$

What is the slope of the line joining (2, 12) and (6, 11)?(2,12)and(6,11)?(2, 12) and (6, 11)?