Here is the graph of the line with a slope of $-\frac{1}{2}$, passing through the point $(-3, -3)$. The red point on the graph represents the given point, and the blue line is the line passing through it.

Would you like more details or have any questions?

Here are some related questions to explore:

1. What is the equation of the line in slope-intercept form?
2. How can you find the x-intercept and y-intercept of this line?
3. What is the equation of a line parallel to this one passing through a different point?
4. How do you calculate the distance between a point and a line?
5. How can you determine the angle between two lines using their slopes?

Tip: When graphing a line, knowing both the slope and a point helps you determine the line's path.