Find the slope of the line passing through the pair of points or state that the slope is undefined. Then indicate whether the line through the points rises, falls, is horizontal, or is vertical \( (2,-8) \) and \( (-2,-8) \) Select the correct choice below and, if necessary, fill in the answer box within your choice A. The slope is (Simplify your answer.) B. The slope is undefined.
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The slope of the line through the points \( (2, -8) \) and \( (-2, -8) \) is calculated as follows: \[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-8 - (-8)}{-2 - 2} = \frac{0}{-4} = 0 \] Since the slope is 0, this tells us that the line is horizontal. It doesn't rise or fall; it simply stays level at \( y = -8 \). So, the correct choice is A. The slope is 0. The line through these points is horizontal. For a bit of extra fun, did you know that horizontal lines are like the lazy river of graphing? They just float along without going up or down! Keep an eye on them; they’ll always be at the same height!