To find the slope of the line shown in your image, we can use the formula for slope:

$m = \frac{\text{Rise}}{\text{Run}}$

The "rise" is the vertical change between two points on the line, and the "run" is the horizontal change between those points.

From the graph:

• The two points where the line crosses the grid are at $(-3, 2)$ and $(2, -2)$.

Now, let's calculate the rise and the run:

1. Rise: The vertical change from $(2)$ to $(-2)$ is: $\text{Rise} = -2 - 2 = -4$

2. Run: The horizontal change from $(-3)$ to $(2)$ is: $\text{Run} = 2 - (-3) = 2 + 3 = 5$

Therefore, the slope $m$ is:

$m = \frac{-4}{5}$

Thus, the slope of the line is $-\frac{4}{5}$.

Would you like further details or explanations?

Here are some related questions you could explore:

1. What happens to a line if the slope becomes more negative?
2. How does changing the run affect the steepness of the line?
3. Can you find the equation of the line from this slope and the given points?
4. What is the slope of a vertical line?
5. What are some real-world applications of slopes?

Tip: The sign of the slope tells you the direction of the line—if it's negative, the line slopes downward from left to right!