1. The problem asks to identify which graph shows the line of best fit for the data. 2. A line of best fit is a straight line that best represents the data points on a scatter plot. 3. The line of best fit minimizes the distance between itself and all the data points. 4. We analyze each graph's line based on the points it passes through and the slope. 5. Top-left graph line passes through approximately (1, 0) and (8, 21). 6. Calculate slope $m = \frac{21 - 0}{8 - 1} = \frac{21}{7} = 3$. 7. Top-right graph line passes through approximately (2, 0) and (9, 21). 8. Calculate slope $m = \frac{21 - 0}{9 - 2} = \frac{21}{7} = 3$. 9. Bottom-left graph line passes through approximately (5, 5) and (7, 21). 10. Calculate slope $m = \frac{21 - 5}{7 - 5} = \frac{16}{2} = 8$ (steep slope). 11. Bottom-right graph line passes through approximately (0, 5) and (10, 15). 12. Calculate slope $m = \frac{15 - 5}{10 - 0} = \frac{10}{10} = 1$ (shallow slope). 13. Since the data points have an upward trend with a slope near 3, the top-left and top-right graphs are candidates. 14. The exact line of best fit depends on the data points, but both top-left and top-right have slope 3. 15. The top-left line passes through (1, 0), which is closer to the origin, suggesting a better fit if data starts near x=1. 16. Therefore, the top-left graph shows the line of best fit for the data.