To find the slope of the line shown in the image, we need to use the formula for the slope between two points $(x_1, y_1)$ and $(x_2, y_2)$ on the line, which is given by:

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

Step-by-Step Process:

1. Identify the coordinates of two points: Looking at the image, the two points where the line crosses the grid lines are approximately:

   • Point 1: $(0, 2)$
   • Point 2: $(3, -2)$

2. Apply the slope formula: $\text{slope} = \frac{-2 - 2}{3 - 0} = \frac{-4}{3}$

So, the slope of the line is $\boxed{-\frac{4}{3}}$.

Would you like more details or have any questions?

Related Questions:

1. What does the slope of a line represent geometrically?
2. How does a negative slope differ from a positive slope in terms of the direction of the line?
3. What would the slope be if the line were horizontal?
4. How do you calculate the slope of a vertical line?
5. Can the slope of a line be zero? Under what condition?

Tip: The slope indicates the steepness and direction of a line. A negative slope means the line slopes downward from left to right.