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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 \( (-1,-6) \) and \( (-1,2) \) 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 Dunn Reeves. in the United States
Feb 27,2025

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Tutor-Verified Answer

Answer

The slope is undefined and the line is vertical.

Solution

Since both points have the same x-coordinate (-1), the change in x is 0, which makes the slope formula result in division by zero. Therefore: B. The slope is undefined and the line is vertical.

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B. The slope is undefined Since both points have the same x-coordinate (-1), the line passing through them is vertical. Vertical lines have an undefined slope because you cannot divide by zero (the change in x is zero). In this case, the line does not rise or fall; it simply extends vertically upwards between the two points.

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