1. **State the problem:** We need to determine the quadrant or axis location of two points based on their x and y coordinates. 2. **Recall the quadrant rules:** - Quadrant I: $x > 0$, $y > 0$ - Quadrant II: $x < 0$, $y > 0$ - Quadrant III: $x < 0$, $y < 0$ - Quadrant IV: $x > 0$, $y < 0$ - If $x=0$ or $y=0$, the point lies on an axis. 3. **Analyze Point A:** - Given $x < 0$ and $y < 0$ - This matches Quadrant III. 4. **Analyze Point B:** - Given $x > 0$ and $y < 0$ - This matches Quadrant IV. **Final answers:** - Point A lies in Quadrant III. - Point B lies in Quadrant IV.