To graph the line with a slope of $\frac{1}{2}$ passing through the point $(-3, -2)$:

1. Understand the slope: A slope of $\frac{1}{2}$ means that for every 2 units you move to the right along the x-axis, you move 1 unit up along the y-axis.

2. Plot the given point: Start by plotting $(-3, -2)$ on the graph.

3. Use the slope to find another point:

   • From $(-3, -2)$, move 2 units to the right and 1 unit up to get the next point: $(-1, -1)$.

4. Draw the line:

   • Draw a straight line passing through these two points ($(-3, -2)$ and $(-1, -1)$).
   • You can extend the line in both directions if needed.

5. Verify the graph: Ensure that the line's slope matches $\frac{1}{2}$, and it crosses the point $(-3, -2)$.

Would you like me to illustrate this process further or solve related questions?

Here are some related questions for practice:

1. How do you calculate the slope of a line given two points?
2. What is the slope-intercept form of a linear equation?
3. How can you convert a slope-intercept equation into a standard form?
4. What happens to a line when the slope changes but the point remains fixed?
5. How do you find the y-intercept of a line using its equation?

Tip: Always start by plotting the given point when graphing a line and use the slope to plot additional points.