1. **Stating the problem:** We need to write equations for two lines based on their graphs. 2. **Understanding the graphs:** - Graph 5 shows a line passing through the origin with a negative slope. - Graph 6 shows a line passing through the origin with a positive slope. 3. **Formula for a line through the origin:** The general form is $$y = mx$$ where $m$ is the slope. 4. **For Graph 5:** Since the slope is negative, we can write $$y = -x$$ as a simple example. 5. **For Graph 6:** Since the slope is positive, we can write $$y = x$$ as a simple example. **Final answers:** - Graph 5: $$y = -x$$ - Graph 6: $$y = x$$