To calculate the rate of change (slope) of the line through the two points shown on the graph, we'll use the formula for the slope between two points $(x_1, y_1)$ and $(x_2, y_2)$:

$\text{slope (m)} = \frac{y_2 - y_1}{x_2 - x_1}$

From the graph, the two points where the line crosses are approximately:

• $(0, 4)$
• $(4, 0)$

Now, applying the formula:

$m = \frac{0 - 4}{4 - 0} = \frac{-4}{4} = -1$

So, the rate of change (slope) of the line is -1.

Would you like more details or have any further questions?

Here are 5 related questions for deeper exploration:

1. How does the slope of a line relate to its steepness?
2. What would the slope be if the line was horizontal?
3. How can you calculate the slope if given an equation of a line?
4. What does a positive slope indicate compared to a negative slope?
5. Can you find the slope of a line without using a graph?

Tip: The slope of a line represents the rate at which the $y$-coordinate changes with respect to the $x$-coordinate.