In which quadrant would you find point P if the coordinates of P are (-5, ...)? Assuming that P is not on an axis, what are the possible answers to this question?
Understand the Problem
The question is asking in which quadrant point P, with the given x-coordinate of -5 (and an unspecified y-coordinate), would be located assuming it is not on an axis. This focuses on understanding the Cartesian coordinate system and the properties of the quadrants.
Answer
quadrant II or quadrant III
Answer for screen readers
The possible answers to this question are: quadrant II or quadrant III.
Steps to Solve
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Identify the x-coordinate The given x-coordinate of point P is $-5$. This means point P is located to the left of the origin (0, 0) on the Cartesian plane.
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Determine the range of y-coordinates Since point P is not on an axis, its y-coordinate cannot be 0. Thus, the possible values for the y-coordinate can be either positive or negative, leading to different quadrants:
- If $y > 0$, point P would be in quadrant II.
- If $y < 0$, point P would be in quadrant III.
- List possible quadrants Based on the above analysis:
- If the y-coordinate is positive, point P is in quadrant II.
- If the y-coordinate is negative, point P is in quadrant III.
Since the question asks which quadrants point P could be in, the answer options are:
- Quadrant II or Quadrant III
The possible answers to this question are: quadrant II or quadrant III.
More Information
In the Cartesian coordinate system:
- Quadrant I contains points where both $x$ and $y$ are positive.
- Quadrant II contains points where $x$ is negative and $y$ is positive.
- Quadrant III contains points where both $x$ and $y$ are negative.
- Quadrant IV contains points where $x$ is positive and $y$ is negative.
Point P, with an x-coordinate of $-5$, can only be in Quadrant II (if y is positive) or Quadrant III (if y is negative).
Tips
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