To determine the slope of the line in the image, we need to identify two points on the line and calculate the slope using the formula:

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

From the graph, two clear points on the line are:

• Point 1: $(-4, 0)$
• Point 2: $(0, 2)$

Calculating the slope: $\text{slope} = \frac{2 - 0}{0 - (-4)} = \frac{2}{4} = \frac{1}{2}$

So, the slope of the line is $\frac{1}{2}$.

Would you like more details, or do you have any questions?

Here are five related questions to deepen understanding:

1. What is the significance of a positive versus negative slope?
2. How would you interpret a slope of zero on a graph?
3. What does an undefined slope represent in terms of a line's direction?
4. How can you determine the slope if the coordinates are not integers?
5. How does changing one of the points affect the slope calculation?

Tip: Always double-check the points you choose on the line to ensure they are accurately read, as a small error can change the slope calculation.