Question

In which quadrant is the point (4, -5)? II I IV III

Answer 1

Quadrant IV

Explanation:

The Cartesian plane is divided into 4 quadrants.

Quadrant I is the top right quadrant, where x and y are positive.

We then move in a counterclockwise direction for quadrants II, III and IV.

Therefore:

• Quadrant I: (x, y)
• Quadrant II: (-x, y)
• Quadrant III: (-x, -y)
• Quadrant IV: (x, -y)

As point (4, -5) has a positive x-value and a negative y-value, it will lie in Quadrant IV

Answer 2

Quadrant IV

Explanation:

You can easily find in which quadrant a point lies using this key :

• Quadrant I = (+ , +)
• Quadrant II = (- , +)
• Quadrant III = (-, -)
• Quadrant IV = (+, -)

We have the coordinate (4, -5)

• x-coordinate is positive
• y-coordinate is negative
• It lies in Quadrant IV