To determine the slope of the line given the table of values, we can use the formula for slope (m):
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
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Let's take the first two points from the table: (-2, 1) and (2, 2).
- Here, \( (x_1, y_1) = (-2, 1) \) and \( (x_2, y_2) = (2, 2) \).
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Now, plug these values into the slope formula:
\[ m = \frac{2 - 1}{2 - (-2)} = \frac{1}{2 + 2} = \frac{1}{4} \]
Alternatively, we can also check with the third point (10, 4):
Using the second point (2, 2) and the third point (10, 4):
\[ m = \frac{4 - 2}{10 - 2} = \frac{2}{8} = \frac{1}{4} \]
So, the slope of the line is \(\frac{1}{4}\).
Answer: Start Fraction 1 over 4 End Fraction