To determine the slope of a line given two points, we use the formula:

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

From the graph, the two points provided are:

• Point 1: $(-3, -2)$
• Point 2: $(6, 4)$

Plugging these into the slope formula:

1. Calculate the difference in $y$-values: $y_2 - y_1 = 4 - (-2) = 4 + 2 = 6$

2. Calculate the difference in $x$-values: $x_2 - x_1 = 6 - (-3) = 6 + 3 = 9$

3. Substitute these values into the slope formula: $m = \frac{6}{9} = \frac{2}{3}$

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

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

Here are five related questions that expand on this topic:

1. How do you find the slope of a line if given the equation instead of points?
2. What does a positive or negative slope indicate about the direction of a line?
3. How can you find the equation of a line given a point and the slope?
4. How do you find the slope of a line parallel to a given line?
5. What is the slope of a vertical or horizontal line?

Tip: Remember that the slope represents the "rise over run" between two points on a line, showing the line's steepness.