To find the slope of the line on the graph, we can observe two clear points on the line. The slope is determined by the "rise over run" between two points on the line, which is the change in $y$ divided by the change in $x$.

Step-by-Step Solution:

1. Identify Two Points on the Line: From the graph, we can see two points:

   • Point 1: $(0, -3)$
   • Point 2: $(3, 2)$

2. Calculate the Change in $y$ (Rise): $\Delta y = y_2 - y_1 = 2 - (-3) = 2 + 3 = 5$

3. Calculate the Change in $x$ (Run): $\Delta x = x_2 - x_1 = 3 - 0 = 3$

4. Determine the Slope (m): $m = \frac{\Delta y}{\Delta x} = \frac{5}{3}$

Answer:

The slope of the line is $\frac{5}{3}$.

Would you like further details or have any questions?

Here are some additional related questions:

1. How do you find the slope of a vertical line?
2. What is the slope-intercept form of a line?
3. How does the slope affect the angle of a line on a graph?
4. Can the slope of a line be negative?
5. How do you interpret a slope of zero?

Tip: Always remember that the slope represents how steep a line is, with a larger slope indicating a steeper incline.