To determine if the given points represent a linear function, we can check if the slope between the two points is constant.
The points given are (-4, 2) and (-1, 8).
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Calculate the slope (m) using the formula: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Here, \( (x_1, y_1) = (-4, 2) \) and \( (x_2, y_2) = (-1, 8) \).
Plugging in the values: \[ m = \frac{8 - 2}{-1 - (-4)} = \frac{6}{3} = 2 \]
Since the slope is constant, the table does represent a linear function.
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State: Yes, this table represents a linear function.
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State the slope: The slope \( m \) is 2.