What is the slope of the line passing through the following points: $(9, - 10), (14, - 6)$ $(9, -10), (14,-6)$ ?

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Answer 1 · 2018-06-25T13:17:43

$\frac{4}{5}$ $4/5$

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

In our case, $(x_{1}, y_{1})$ $(x_1,y_1)$ is $(9, - 10)$ $(9,-10)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ is $(14, - 6)$ $(14,-6)$ .

$\frac{- 6 - (- 10)}{14 - 9} = \frac{4}{5}$ $(-6-(-10))/(14-9)=4/5$

Hope this helped!!

Answer 2 · 2018-06-25T13:18:55

$\frac{4}{5}$ $4/5$

To find the slope of any line when only the points are given, use the slope formula:

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

Call $(9, - 10)$ $(9,-10)$ Point 1. This means that:

$x_{1} = 9$ $x_1 = 9$
$y_{1} = - 10$ $y_1 = -10$

Call $(14, - 6)$ $(14,-6)$ Point 2. This means that:

$x_{2} = 14$ $x_2 = 14$
$y_{2} = - 6$ $y_2 = -6$

Now substitute those values into the equation:

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

$m = \frac{(- 6) - (- 10)}{(14) - (9)}$ $m = ((-6) - (-10))/((14)-(9)$

$m = \frac{- 6 + 10}{14 - 9}$ $m = (-6 + 10 )/(14-9$

$m = \frac{4}{5}$ $m = (4 )/(5$

The slope of this line is $\frac{4}{5}$ $4/5$ .

What is the slope of the line passing through the following points: (9, -10), (14,-6) (9,−10),(14,−6)(9, -10), (14,-6) ?