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Finding the Slope of a Line Given Two Points

스터디 가이드 - 스마트 노트

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Q1. Find the slope of the line that goes through the points (-5, -7) and (-5, -9).

Background

Topic: Slope of a Line

This question tests your understanding of how to calculate the slope of a line given two points. The slope describes how steep the line is and whether it rises or falls as you move from left to right.

Key Terms and Formula:

  • Slope (m): The measure of the steepness of a line.

  • Formula for slope:

  • and are the coordinates of the two points.

Step-by-Step Guidance

  1. Identify the coordinates of the two points: and .

  2. Label the points as and .

  3. Plug the values into the slope formula: .

  4. Calculate and separately.

Try solving on your own before revealing the answer!

Screenshot of slope question with two points

Final Answer: The slope is undefined.

Since both points have the same x-coordinate (), the denominator of the slope formula becomes zero, which means the slope is undefined. This indicates a vertical line.

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