Question: LESSON PRACTICE 7A 6. positive or negative? + m = 1/1 7. positive or negative? - m = 8. positive or negative? - m = 9. positive or negative? + m = 3/1 top-left: graph with a line rising from bottom-left to top-right, passing through the origin and another marked point in the upper-right quadrant. top-right: graph with a line falling from top-left to bottom-right, passing through the origin and marked points in the upper-left and lower-right quadrants. bottom-left: graph with a line falling from top-left to bottom-right, passing through the origin and marked points in the upper-left quadrant and near the center-left. bottom-right: graph with a steep line rising from bottom-left to top-right, passing through the origin and a marked point above the x-axis on the right.

1. **State the problem:** Determine whether the slope $m$ of each line is positive or negative based on the graph description and given values. 2. **Recall the rule for slope signs:** - A line rising from left to right has a **positive slope**. - A line falling from left to right has a **negative slope**. 3. **Analyze each graph and slope:** **6.** Given $m=\frac{1}{1}$ and the line rises from bottom-left to top-right. - Since the line rises, the slope is positive. - $m=\frac{1}{1}=1$ which is positive. **7.** The line falls from top-left to bottom-right. - A falling line means the slope is negative. - The exact value of $m$ is not given, but the sign is negative. **8.** The line falls from top-left to bottom-right. - Again, a falling line means the slope is negative. - The exact value of $m$ is not given, but the sign is negative. **9.** Given $m=\frac{3}{1}$ and the line rises steeply from bottom-left to top-right. - Since the line rises, the slope is positive. - $m=\frac{3}{1}=3$ which is positive. 4. **Summary:** - Problem 6: slope positive, $m=1$ - Problem 7: slope negative, $m<0$ - Problem 8: slope negative, $m<0$ - Problem 9: slope positive, $m=3$