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

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

Looking at the graph, two clear points on the line are:

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

Now, applying the slope formula:

$m = \frac{3 - (-2)}{2 - (-3)} = \frac{3 + 2}{2 + 3} = \frac{5}{5} = 1$

So, the slope of the line is 1.

Would you like more details on the steps involved or have any other questions?

Here are 5 related questions:

1. How does the slope formula work geometrically?
2. What is the slope of a vertical line?
3. How does a positive slope differ from a negative slope on a graph?
4. Can the slope of a line be zero, and what does that mean?
5. How do you find the equation of a line given a point and a slope?

Tip: The slope is essentially the "rise over run," showing how much the line goes up (or down) for a unit movement to the right on the x-axis.