If a line is horizontal, what is the slope of a line perpendicular to it?

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Prepare for the Certify Teacher EC-6 (391) Mathematics Exam. Utilize multiple choice questions, flashcards, and explanations to excel in your assessment. Gear up for success!

Multiple Choice

If a line is horizontal, what is the slope of a line perpendicular to it?

Explanation:
Understanding slopes: a horizontal line runs left to right, so it has slope 0. A line perpendicular to a horizontal line goes straight up and down, which is vertical. For a vertical line, run is 0 while rise is not, and slope is rise divided by run. Dividing by zero isn’t defined, so the slope is undefined. For example, y = 3 is horizontal, and a perpendicular line is x = 5, which has an undefined slope.

Understanding slopes: a horizontal line runs left to right, so it has slope 0. A line perpendicular to a horizontal line goes straight up and down, which is vertical. For a vertical line, run is 0 while rise is not, and slope is rise divided by run. Dividing by zero isn’t defined, so the slope is undefined. For example, y = 3 is horizontal, and a perpendicular line is x = 5, which has an undefined slope.

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