To find the slope of the line from the graph, we can use the formula for slope, which is given by:

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

We need to choose two points on the line and determine their coordinates to use this formula.

From the graph, it looks like two points on the line are approximately:

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

Plugging these coordinates into the slope formula: $\text{slope} = \frac{{-2 - 0}}{{2 - 0}} = \frac{{-2}}{{2}} = -1$

Therefore, the slope of the line is $-1$.

Would you like more details or have any questions?

Here are some related questions to expand your understanding:

1. What is the significance of a slope value in a line equation?
2. How do you determine if a slope is positive or negative just by looking at the graph?
3. How do you calculate the slope when the line is vertical or horizontal?
4. What does a slope of zero represent in terms of the line's direction?
5. How would the equation of a line change if the slope were different?

Tip: A negative slope means the line decreases as you move from left to right, indicating a downward trend.