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What is the slope of the line that passes through the points \( (-9,-2) \) and \( (-9,-6) \) ? Write your answer in simplest form. Answer Attempt 1 out of 3 undefined

Ask by Little Lynch. in the United States
Feb 19,2025

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The slope is undefined because the line is vertical.

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The Deep Dive

When you have two points with the same x-coordinate, like \( (-9, -2) \) and \( (-9, -6) \), you're looking at a vertical line. The slope of a vertical line is always considered undefined because it would involve dividing by zero (the difference in x-coordinates is zero). It's like trying to measure how steep a ladder is when it's standing straight up—there's no angle to define! Vertical lines can be intriguing in real-world scenarios, too! Imagine standing in an elevator—when the elevator goes straight up or down, it's like a vertical line! While the concept of slope doesn't apply in the traditional sense, understanding that elevators operate in this vertical manner can help visualize the concept better.

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