Tyler John
01/07/2024 · Junior High School

Question 8 Find the slope of the line satisfying the given condilions. through \( (6,-6) \) and \( (2,-6) \)

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To find the slope of the line that passes through the points \( (6, -6) \) and \( (2, -6) \), we can use the formula for the slope \( m \) of a line given two points \( (x_1, y_1) \) and \( (x_2, y_2) \): \[ m = \frac{y_2 - y_1}{x_2 - x_1} \] Here, we can assign: - \( (x_1, y_1) = (6, -6) \) - \( (x_2, y_2) = (2, -6) \) Now, substituting the values into the slope formula: \[ m = \frac{-6 - (-6)}{2 - 6} \] This simplifies to: \[ m = \frac{-6 + 6}{2 - 6} = \frac{0}{-4} = 0 \] Thus, the slope of the line is \( \boxed{0} \). This indicates that the line is horizontal.

Quick Answer

The slope of the line is 0.
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