Question

look at the coordinate plane. which quadrant is the point (-5, 2) in?

Explanation:

Step1: Recall quadrant sign rules

In a coordinate plane, quadrants are defined by the signs of \(x\) and \(y\) 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 \((-5, 2)\)

For the point \((-5, 2)\):

• The \(x\)-coordinate is \(-5\), so \(x < 0\).
• The \(y\)-coordinate is \(2\), so \(y > 0\).

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

Answer:

Quadrant II