To determine the slope of the line using the points from the table, we can use the formula for the slope \( m \) given two points \((x_1, y_1)\) and \((x_2, y_2)\):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
From the table, let’s take two points:
- Point 1: \((-1, 6)\)
- Point 2: \((1, 9)\)
Now substitute these values into the slope formula:
\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]
Now, let's also check using the other points: Using Point 1: \((-1, 6)\) and Point 3: \((3, 12)\):
\[ m = \frac{12 - 6}{3 - (-1)} = \frac{6}{3 + 1} = \frac{6}{4} = \frac{3}{2} \]
Both calculations give a slope of \( \frac{3}{2} \).
Thus, the slope of the line is:
3/2