Question

name the quadrant or axis where each point lies. point a the x - coordinate is positive and the y - coordinate is positive. location: (choose one) point b the x - coordinate is negative and the y - coordinate is positive. location: (choose one)

Explanation:

Step1: Recall quadrant coordinate signs

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

Step2: Determine Point A's location

For Point A, \(x\) - coordinate is positive (\(x>0\)) and \(y\) - coordinate is positive (\(y > 0\)). So, it lies in Quadrant I.

Step3: Determine Point B's location

For Point B, \(x\) - coordinate is negative (\(x<0\)) and \(y\) - coordinate is positive (\(y>0\)). So, it lies in Quadrant II.

Answer:

Point A: Quadrant I; Point B: Quadrant II