Question

if x < 0 and y > 0, where is the point (x, y) located? quadrant i quadrant ii quadrant iii quadrant iv

Explanation:

Step1: Recall quadrant sign rules

In the coordinate plane, quadrants are defined by the signs of \(x\) (horizontal) and \(y\) (vertical) coordinates:

• Quadrant I: \(x>0\), \(y>0\)
• Quadrant II: \(x<0\), \(y>0\)
• Quadrant III: \(x<0\), \(y<0\)
• Quadrant IV: \(x>0\), \(y<0\)

Step2: Match given conditions

The problem states \(x < 0\) (negative \(x\)) and \(y>0\) (positive \(y\)). This matches the sign rule for Quadrant II.

Answer:

Quadrant II