To determine the slope of the line defined by the points in the table, we can use the formula for the slope \( m \):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Let's use the points \((-1, 6)\) and \( (1, 9) \):
- \( x_1 = -1 \), \( y_1 = 6 \)
- \( x_2 = 1 \), \( y_2 = 9 \)
Now we can plug these values into the slope formula:
\[ m = \frac{9 - 6}{1 - (-1)} = \frac{3}{1 + 1} = \frac{3}{2} \]
Now, let's double-check using another pair of points, \((1, 9)\) and \((3, 12)\):
- \( x_1 = 1 \), \( y_1 = 9 \)
- \( x_2 = 3 \), \( y_2 = 12 \)
Using the slope formula again:
\[ m = \frac{12 - 9}{3 - 1} = \frac{3}{2} \]
Thus, the slope of the line is \( \frac{3}{2} \).
So, the correct answer is:
Start Fraction 3 over 2 End Fraction (3/2).
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