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

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

We need two points on the line to apply this formula. From the graph, it looks like two points that the line passes through are approximately:

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

Now, using these points in the slope formula:

$\text{slope} = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1$

Therefore, the slope of the line is -1.

Would you like further explanation, or do you have any other questions? Here are five related questions to explore:

1. How would the slope change if the line was steeper or flatter?
2. What does a positive slope represent compared to a negative slope?
3. How do you find the equation of a line once you know the slope and a point?
4. How does the slope relate to the angle a line makes with the x-axis?
5. How can you determine the slope of a vertical or horizontal line?

Tip: A negative slope means the line is decreasing as you move from left to right on the graph.