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

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

From the graph, let's identify two clear points on the line:

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

Now, substitute these into the slope formula:

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

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

Would you like more details or have any questions?

Here are 5 related questions you can explore:

1. How do you find the slope of a vertical line?
2. How would the slope change if the line was steeper?
3. What does a negative slope represent geometrically?
4. Can a horizontal line have a slope?
5. What is the slope-intercept form of a line?

Tip: The slope represents the rate of change of $y$ with respect to $x$; in real-life problems, it often tells how one variable changes in response to another.