In order to determine a specific \( k \) value related to the points (8,2) and (2,2), I need more context about what \( k \) represents. Here are a few interpretations that could apply:
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Slope of the line connecting the two points: If you're looking for the slope \( k \) of the line between the points (8,2) and (2,2), you can calculate it using the formula:
\[ k = \frac{y_2 - y_1}{x_2 - x_1} \]
Where \( (x_1, y_1) = (8, 2) \) and \( (x_2, y_2) = (2, 2) \):
\[ k = \frac{2 - 2}{2 - 8} = \frac{0}{-6} = 0 \]
So the slope \( k \) is 0.
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Distance between the two points: If you're interested in finding the distance \( k \) between the two points, you can use the distance formula:
\[ k = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
Plugging in the values:
\[ k = \sqrt{(2 - 8)^2 + (2 - 2)^2} = \sqrt{(-6)^2 + 0^2} = \sqrt{36} = 6 \]
If you clarify what you're looking for regarding the \( k \) value, I would be happy to assist you further!
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