Question #289d4

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Question #289d4

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Answer 1 · 2015-10-25T22:45:16

The slope, $m$ $m$ , is $- \frac{13}{3}$ $-13/3$ .

Explanation:

To calculate the slope using two points on a line, use the following equation $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $m=(y_2-y_1)/(x_2-x_1)$ , where $m$ $m$ is the slope, $(x_{1}, y_{1})$ $(x_1,y_1)$ is one point, and $(x_{2}, y_{2})$ $(x_2,y_2)$ is the second point.

Point 1: $(6, 8) :$ $(color(red)(6,8)):$
$x_{1} = 6,$ $color(red)(x_1)=color(red)(6),$
$y_{1} = 8$ $color(red)(y_1)=color(red)8$ .

Point 2: $(9, - 5) :$ $(color(green)(9,-5)):$
$x_{2} = 9,$ $color(green)(x_2)=color(green)(9),$
$y_{2} = - 5$ $color(green)(y_2)=color(green)(-5)$

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

$m = \frac{- 5 - 8}{(9 - 6)} = - \frac{13}{3}$ $m=(-color(green)(5)-color(red)(8))/((color(green)(9)-color(red)(6)))=-13/3$

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Question #289d4

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