Question

in which quadrant is the point $(-2,3)$ located?
quadrant iv
quadrant ii
quadrant iii
quadrant i

Explanation:

Step1: Recall quadrant rules

In a 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: Analyze the point \((-2, 3)\)

For the point \((-2, 3)\):

• The \(x\)-coordinate is \(-2\), so \(x < 0\).
• The \(y\)-coordinate is \(3\), so \(y > 0\).

This matches the sign pattern of Quadrant II (\(x<0\), \(y>0\)).

Answer:

B. Quadrant II (Note: Assuming the options are labeled as A, B, C, D with B being "Quadrant II" based on typical formatting. If original labels differ, adjust to match the given option text for "Quadrant II".)