1. The problem provides two sets of coordinate pairs (x, y) and asks to analyze them. 2. We will focus on the first table only, as per instructions to solve the first problem completely. 3. The first table's points are: (-1, -5), (5, 1), (7, 3), (9, 5), (10, 6). 4. Let's find the equation of the line that fits these points using the slope formula: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 5. Calculate slope between first two points (-1, -5) and (5, 1): $$m = \frac{1 - (-5)}{5 - (-1)} = \frac{6}{6} = 1$$ 6. Since slope $m=1$, the line equation is $y = x + b$. 7. Use point (-1, -5) to find $b$: $$-5 = (-1) + b \Rightarrow b = -5 + 1 = -4$$ 8. So the line equation is: $$y = x - 4$$ 9. Verify with another point (7, 3): $$3 \stackrel{?}{=} 7 - 4 = 3$$ which is true. 10. Therefore, the equation that fits the first table is: $$y = x - 4$$