To determine the slope of the lines in the two graphs, we'll calculate the rise over run (change in $y$ divided by the change in $x$) based on the points visible in each graph.

Left Graph: "Kelly's Movie"

• One point is $(0, 2)$ (when no time is watched, 2 hours remain).
• Another point is approximately $(2, 0)$ (after 2 hours watched, no time remains).

Slope Calculation: $\text{slope} = \frac{\Delta y}{\Delta x} = \frac{0 - 2}{2 - 0} = \frac{-2}{2} = -1$ The slope is $-1$.

Right Graph:

• One point is $(-4, 12)$ (at $x = -4$, $y = 12$).
• Another point is $(8, 0)$ (at $x = 8$, $y = 0$).

Slope Calculation: $\text{slope} = \frac{\Delta y}{\Delta x} = \frac{0 - 12}{8 - (-4)} = \frac{-12}{12} = -1$ The slope is $-1$.

Both graphs have a slope of $-1$.

Would you like further clarification or details?

Here are 5 related questions to expand your understanding:

1. How is slope interpreted in real-life scenarios, such as "Kelly's Movie"?
2. What does a negative slope indicate about the relationship between $x$ and $y$?
3. Can you calculate the slope if points are not labeled explicitly on the graph?
4. How would you find the slope if given only the equation of the line?
5. What is the significance of a slope of 0 or an undefined slope?

Tip: Always pick two clearly defined points on the line to calculate the slope accurately.