To calculate the slope of the line using the points from the table, we can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
We have the points:
- \((-1, 6)\)
- \((1, 9)\)
- \((3, 12)\)
Let's use the first two points \((-1, 6)\) and \((1, 9)\) for our calculation:
\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]
Now, we can check using the other points \((1, 9)\) and \((3, 12)\):
\[ m = \frac{12 - 9}{3 - 1} = \frac{3}{2} \]
In both cases, we find that the slope of the line is
\[ \frac{3}{2} \]
Thus, the correct response is:
\[ \frac{3}{2} \]
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