1. We are given points on a line: (2, -10), (5, 8), (8, 26), and (11, 44). 2. The problem asks for the slope of the line passing through these points. 3. The formula for slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 4. Choose the first two points (2, -10) and (5, 8) to calculate the slope: $$m = \frac{8 - (-10)}{5 - 2} = \frac{8 + 10}{3} = \frac{18}{3}$$ 5. Simplify the fraction by canceling common factors: $$m = \frac{\cancel{18}^{6} }{\cancel{3}^{1}} = 6$$ 6. To confirm, check slope between (5, 8) and (8, 26): $$m = \frac{26 - 8}{8 - 5} = \frac{18}{3} = 6$$ 7. The slope is consistent for all points, so the slope of the line is $6$.