Question
\( (-1,2) \) would be in quadrant: I II III IV \( (-3,-3) \) would be in quadrant: \( (7,-10) \) would be in quadrant: II II III IV
Ask by Lowe Maxwell. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( (-1, 2) \) is in Quadrant II, \( (-3, -3) \) is in Quadrant III, and \( (7, -10) \) is in Quadrant IV.
Solution
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.
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Simplify this solution Mind Expander
The point \( (-1, 2) \) lies in the second quadrant (II), where x-coordinates are negative and y-coordinates are positive, symbolizing a location that is to the left of the origin and above it. The point \( (-3, -3) \) sits in the third quadrant (III), where both x and y coordinates are negative, indicating it's located below and to the left of the origin - think of it as hanging out in the lower-left corner of the graph! The point \( (7, -10) \) is situated in the fourth quadrant (IV), where the x-coordinate is positive, and the y-coordinate is negative, meaning it’s below the x-axis appearing in the southern part of our Cartesian plane.
