Question #af11a

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Answer 1 · 2017-12-09T20:05:58

The slope is $- 1$ $-1$ .

Given two ordered pairs $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ , the slope can be found by:

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

Let's identify the $x$ $x$ and $y$ $y$ coordinates:

$x_{1} = - 5$ $color(red)(x_1=-5)$

$y_{1} = 3$ $color(blue)(y_1=3)$

$x_{2} = 2$ $color(green)(x_2=2)$

$y_{2} = - 4$ $color(magenta)(y_2=-4)$

Now plug them into the slope formula:

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $\frac{color(magenta)(y_2)-color(blue)(y_1)}{color(green)(x_2)-color(red)(x_1)}$

$\implies \frac{color(magenta)(-4)-color(blue)(3)}{\underbrace{color(green)(2)-color(red)((-5))}_{\text{Two negatives make a positive}$

$\implies \frac{-7}{7}$

$\implies -1$