Subjects algebra

Line Slope 85C965

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1. The problem asks to find the slope of the line passing through the points given in the table: (-4, -18), (0, 2), (1, 7), and (3, 17). 2. The formula for the slope $m$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is: $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ 3. We can use any two points from the table to calculate the slope. Let's use the points $(0, 2)$ and $(1, 7)$: $$m = \frac{7 - 2}{1 - 0} = \frac{5}{1} = 5$$ 4. To verify, let's check the slope between $(1, 7)$ and $(3, 17)$: $$m = \frac{17 - 7}{3 - 1} = \frac{10}{2} = 5$$ 5. Since the slope is consistent between these points, the slope of the line is $5$. Final answer: The slope of the line is $5$.