To calculate the slope of the line using the data from the table, we can use the formula for the slope (m):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's use two points from the table:
- Point 1: \((-1, 6)\)
- Point 2: \((1, 9)\)
Now plug the values into the slope formula:
\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]
Next, let’s verify using another pair of points:
- Point 1: \((1, 9)\)
- Point 2: \((3, 12)\)
Applying the formula again:
\[ m = \frac{12 - 9}{3 - 1} = \frac{3}{2} \]
The slope calculated using both pairs of points is \(\frac{3}{2}\).
Final Answer: \(\frac{3}{2}\)