To determine the slope of the line, we need to use the slope formula:

$m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1},$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

From the graph:

• One point is $(0, -8)$ (the line crosses the y-axis at -8).
• Another point is $(8, 8)$.

Calculating the slope:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8 - (-8)}{8 - 0}.$ Simplify the numerator and denominator: $m = \frac{8 + 8}{8} = \frac{16}{8} = 2.$

Final Answer:

The slope of the line is $m = 2$.

Would you like a detailed explanation of why the slope formula works? Let me know if you have any questions!

Here are 5 related questions to explore:

1. How do you determine the slope of a horizontal or vertical line?
2. What does a negative slope look like on a graph?
3. How do you write the equation of a line given its slope and one point?
4. What is the y-intercept of this line, and how does it relate to the equation?
5. How do you find the slope between two points that are not given on the graph?

Tip: Always remember that a positive slope means the line rises to the right, while a negative slope falls to the right.