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In coordinate geometry, what is the slope of a line that is perpendicular to a l

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Question: In coordinate geometry, what is the slope of a line that is perpendicular to a line with a slope of -3?

Options:

  1. 1/3
  2. 3
  3. -1/3
  4. 0

Correct Answer: 3

Solution:

The slope of a line perpendicular to another is the negative reciprocal. The negative reciprocal of -3 is 1/3.

In coordinate geometry, what is the slope of a line that is perpendicular to a l

Practice Questions

Q1
In coordinate geometry, what is the slope of a line that is perpendicular to a line with a slope of -3?
  1. 1/3
  2. 3
  3. -1/3
  4. 0

Questions & Step-by-Step Solutions

In coordinate geometry, what is the slope of a line that is perpendicular to a line with a slope of -3?
  • Slope of a Line – The slope of a line in coordinate geometry represents its steepness and direction, calculated as the change in y over the change in x.
  • Perpendicular Lines – Two lines are perpendicular if the product of their slopes is -1, meaning the slope of one line is the negative reciprocal of the other.
  • Negative Reciprocal – The negative reciprocal of a number 'm' is calculated as -1/m, which is used to find the slope of a line perpendicular to another.
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