How do I find the slope of the line which passes through the points $(0, - 5)$ $(0, -5)$ and $(- 5, 12)$ $(-5, 12)$ ?

Question

3903 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T00:10:16

The slope is $- \frac{17}{5}$ $-{17}/{5}$ .

The slope of a line passing through points $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ is defined as:

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

if the $x$ $x$ coordinates are not equal. The slope is not defined if the $x$ $x$ coordinates are equal because that would require dividing by zero.

Here:

$(x_{1}, y_{1}) = (0, - 5)$ $(x_1,y_1)=(0,-5)$

$(x_{2}, y_{2}) = (- 5, 12)$ $(x_2,y_2)=(-5,12)$

and then:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{12 - (- 5)}{- 5 - 0} = - \frac{17}{5}$ $m={y_2-y_1}/{x_2-x_1}={12-(-5)}/{-5-0}=-{17}/{5}$

How do I find the slope of the line which passes through the points (0,−5)(0, -5) and (−5,12)(-5, 12)?