Interpreting Slope as a Rate of Change Practice

$\text{Slope}=\dfrac{\text{Rise}}{\text{Run}}=\dfrac{\text{Change in }y}{\text{Change in }x}$

$\begin{aligned}\text{Slope}&=\dfrac{-4-1}{0-(-10)}\\\\&=\dfrac{-5}{10}\\\\&=-\dfrac{1}{2}\end{aligned}$

The slope is $-\dfrac{1}{2}$.

$\text{Slope}=\dfrac{\text{Rise}}{\text{Run}}=\dfrac{\text{Change in }y}{\text{Change in }x}$

$\begin{aligned}\text{Slope}&=\dfrac{-4-8}{3-(-1)}\\\\&=\dfrac{-12}{4}\\\\&=-3\end{aligned}$

The slope is $-3$.

$\text{Slope}=\dfrac{\text{Rise}}{\text{Run}}=\dfrac{\text{Change in }y}{\text{Change in }x}$

$\begin{aligned}\text{Slope}&=\dfrac{4-(-8)}{0-(-7)}\\\\&=\dfrac{12}{7}\end{aligned}$

The slope is $\dfrac{12}{7}$.

$\text{Slope}=\dfrac{\text{Rise}}{\text{Run}}=\dfrac{\text{Change in }y}{\text{Change in }x}$

$\begin{aligned}\text{Slope}&=\dfrac{9-(-7)}{3-(-1)}\\\\&=\dfrac{16}{4}\\\\&=4\end{aligned}$

The slope is $4$.