# Question af11a

Dec 9, 2017

The slope is $- 1$.

#### Explanation:

Given two ordered pairs $\left({x}_{1} , {y}_{1}\right)$ and $\left({x}_{2} , {y}_{2}\right)$, the slope can be found by:

$\setminus \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

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

$\textcolor{red}{{x}_{1} = - 5}$

$\textcolor{b l u e}{{y}_{1} = 3}$

$\textcolor{g r e e n}{{x}_{2} = 2}$

$\textcolor{m a \ge n t a}{{y}_{2} = - 4}$

Now plug them into the slope formula:

$\setminus \frac{\textcolor{m a \ge n t a}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}}{\textcolor{g r e e n}{{x}_{2}} - \textcolor{red}{{x}_{1}}}$

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

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

$\setminus \implies - 1$