The slope of a line is calculated using the formula:

$\text{slope} = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, let's choose two points on the line to calculate the slope. I can identify the following points:

• Point 1: (0, 0)
• Point 2: (8, 8)

Now, applying these to the formula:

$\text{slope} = \frac{8 - 0}{8 - 0} = \frac{8}{8} = 1$

So, the slope of the graph is 1.

Would you like any further details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How does the slope change if the line becomes steeper or flatter?
2. Can you determine the slope of a vertical line?
3. What is the slope of a horizontal line, and why?
4. How would you calculate the slope if the points were not so clear?
5. How is slope used in real-world applications like engineering or economics?

Tip: The slope can help determine the direction and steepness of a line. A positive slope means the line is rising, while a negative slope means it's falling.