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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. \( (-3,-4) \) and \( (-3,8) \) Select the correct choice below and fill in the answer box within your choice. A. The slope is B. The slope is undefined.

Ask by Smith Sherman. in the United States
Feb 26,2025

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The slope is undefined, and the line is vertical.

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The slope of a line is calculated using the formula \( \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \). For the points \( (-3,-4) \) and \( (-3,8) \), the calculations yield: \( y_2 = 8 \), \( y_1 = -4 \) --> \( 8 - (-4) = 8 + 4 = 12 \) Meanwhile, since both points share the same x-coordinate, \( x_2 = -3 \), \( x_1 = -3 \) --> \( -3 - (-3) = 0 \). This gives us \( \text{slope} = \frac{12}{0} \). Since division by zero is impossible, the slope is undefined. Furthermore, since the x-coordinates are the same, the line is vertical. B. The slope is undefined.

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