To find the slope of the line shown in the graph, we can identify two points on the line and use the slope formula:

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

Looking at the graph, two points on the line are approximately $(-3, -1)$ and $(3, 3)$.

Now, we can substitute these coordinates into the formula:

$\text{slope} = \frac{3 - (-1)}{3 - (-3)} = \frac{3 + 1}{3 + 3} = \frac{4}{6} = \frac{2}{3}$

So, the slope of the line is $\frac{2}{3}$.

Would you like more details on this solution or have any other questions?

Here are five related questions you might find helpful:

1. What is the general formula for calculating the slope between two points?
2. How can you determine if a line has a positive or negative slope just by looking at its graph?
3. What does it mean if the slope of a line is zero?
4. How does the slope affect the steepness of a line?
5. Can two lines with different slopes be parallel?

Tip: Remember, the slope tells you how much the line rises (or falls) vertically for each unit it moves horizontally. A larger slope means a steeper line!