In Cartesian plane, the point (-2, -3) lies in which quadrant?
2013
In Cartesian plane, the point (-2, -3) lies in which quadrant?
- A.
First
- B.
Second
- C.
Third
- D.
Fourth
Attempted by 2 students.
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Correct answer: C
A point's quadrant in the Cartesian plane is fixed entirely by the signs of its x-coordinate and y-coordinate. The plane is divided into four quadrants based on this sign pattern, as summarized below.
Quadrant | Sign of x | Sign of y |
|---|---|---|
First | Positive | Positive |
Second | Negative | Positive |
Third | Negative | Negative |
Fourth | Positive | Negative |
For the point (-2, -3): the x-coordinate is -2 (negative) and the y-coordinate is -3 (negative). Matching this (negative, negative) pattern against the table shows it corresponds to the Third quadrant.
Independently, plotting (-2, -3) places it 2 units to the left of the origin and 3 units below it — squarely in the lower-left region of the plane, which is exactly the Third quadrant, confirming the sign-based result.
Hence, the point (-2, -3) lies in the Third quadrant.