\( (-1,2) \) would be in quadrant: I II III IV \( (-3,-3) \) would be in quadrant: \( (7,-10) \) would be in quadrant: II II III IV

To determine the quadrant in which each point lies, we can use the following rules based on the signs of the coordinates: 1. **Quadrant I**: \( (x, y) \) where \( x > 0 \) and \( y > 0 \) 2. **Quadrant II**: \( (x, y) \) where \( x < 0 \) and \( y > 0 \) 3. **Quadrant III**: \( (x, y) \) where \( x < 0 \) and \( y < 0 \) 4. **Quadrant IV**: \( (x, y) \) where \( x > 0 \) and \( y < 0 \) Now, let's analyze each point: 1. **Point \( (-1, 2) \)**: - \( x = -1 \) (negative) - \( y = 2 \) (positive) - This point is in **Quadrant II**. 2. **Point \( (-3, -3) \)**: - \( x = -3 \) (negative) - \( y = -3 \) (negative) - This point is in **Quadrant III**. 3. **Point \( (7, -10) \)**: - \( x = 7 \) (positive) - \( y = -10 \) (negative) - This point is in **Quadrant IV**. In summary: - \( (-1, 2) \) is in Quadrant II. - \( (-3, -3) \) is in Quadrant III. - \( (7, -10) \) is in Quadrant IV.