To determine the slope of the line shown in the image, we can apply the formula for slope, which is:

$\text{slope} = \frac{\text{change in } y}{\text{change in } x} = \frac{\Delta y}{\Delta x}$

1. Identify two points on the line: From the graph, two points on the line can be:

   • Point 1: $(0, 3)$ (where the line crosses the y-axis)
   • Point 2: $(3, 0)$ (where the line crosses the x-axis)

2. Calculate the slope: Using the formula: $\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1$

Thus, the slope of the line is -1.

Would you like further explanation or details on how slope is calculated? Here are some related questions:

1. What does a negative slope indicate about the direction of a line?
2. How does changing the slope affect the steepness of a line?
3. Can you explain what the y-intercept represents in a linear equation?
4. How would the equation of this line be written in slope-intercept form?
5. What are the different types of slopes a line can have?

Tip: The slope of a line can help determine how it angles relative to the x-axis—positive slopes go upwards, negative slopes go downwards.