Math Problem Statement

Determine the quadrant in which the point (x, y) lies when x < 0 and y > 0.

Solution

The question asks to determine in which quadrant the point (x,y)(x, y) lies, given that x<0x < 0 and y>0y > 0.

  • The Cartesian plane is divided into four quadrants:
    1. Quadrant I: x>0x > 0, y>0y > 0
    2. Quadrant II: x<0x < 0, y>0y > 0
    3. Quadrant III: x<0x < 0, y<0y < 0
    4. Quadrant IV: x>0x > 0, y<0y < 0

Since x<0x < 0 and y>0y > 0, the point lies in Quadrant II.

The correct answer is Quadrant II.

Would you like any further details or have questions about this?

Here are 5 related questions to expand on this concept:

  1. What are the coordinates of a point that lies in Quadrant III?
  2. How do the signs of xx and yy change across the quadrants?
  3. Can a point lie on the axis between two quadrants? If so, how do you classify it?
  4. What is the difference between Cartesian coordinates and polar coordinates?
  5. How do you determine the distance between two points in different quadrants?

Tip: When identifying a quadrant, always pay attention to the signs of both xx and yy.

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Math Problem Analysis

Mathematical Concepts

Coordinate Geometry
Quadrants

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8