Question
Identify the location of the point (-1, 7) on the Cartesian plane.
Ask by Wilson Franklin. in South Africa
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The point (-1, 7) is in the second quadrant, 1 unit to the left of the origin and 7 units above it.
Solution
The point **(-1, 7)** can be located on the Cartesian plane by following these steps:
1. **Identify the Coordinates:**
- **x-coordinate (-1):** This indicates that the point is **1 unit to the left** of the origin (0,0) along the horizontal axis.
- **y-coordinate (7):** This indicates that the point is **7 units above** the origin along the vertical axis.
2. **Determine the Quadrant:**
- Since the **x-coordinate is negative** and the **y-coordinate is positive**, the point **(-1, 7)** lies in the **Second Quadrant** of the Cartesian plane.
3. **Visualization:**
- To plot the point, start at the origin (0,0).
- Move **1 unit to the left** along the x-axis.
- From there, move **7 units up** along the y-axis.
- Mark the point at this location.
**Summary:**
- **Point (-1, 7)** is located in the **Second Quadrant** of the Cartesian plane, **1 unit left** of the origin and **7 units above** it.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
The point (-1, 7) is located in the second quadrant of the Cartesian plane. Here, the x-coordinate is negative, which places it to the left of the y-axis, while the y-coordinate is positive, indicating that it is above the x-axis. So, you can visualize it as being up from the x-axis and to the left of the intersection point of the x and y axes. To plot this point, start at the origin (0, 0). Move 1 unit to the left (since -1 is negative on the x-axis), and then move 7 units up (because 7 is positive on the y-axis). You'll land on the point (-1, 7), ready for some Cartesian fun!
