Answer
To plot point \( A(-6, 2) \) on a coordinate plane:
1. Draw the x-axis and y-axis intersecting at the origin.
2. Move 6 units to the left on the x-axis for the x-coordinate (-6).
3. Move 2 units up on the y-axis for the y-coordinate (2).
4. Mark the point where these movements intersect as \( A(-6, 2) \).
Solution
To plot the point \( A(-6, 2) \) on a coordinate plane, follow these step-by-step instructions:
1. **Draw the Coordinate Plane:**
- **Axes:** Start by drawing two perpendicular lines that intersect at a point called the **origin**. The horizontal line is the **x-axis**, and the vertical line is the **y-axis**.
- **Numbering:** Mark equal intervals on both axes. Typically, numbers to the right of the origin on the x-axis are positive, and to the left are negative. On the y-axis, numbers above the origin are positive, and below are negative.
2. **Identify the Coordinates of Point A:**
- The point \( A(-6, 2) \) has two parts:
- **x-coordinate:** -6
- **y-coordinate:** 2
3. **Plot the x-coordinate (-6):**
- **Locate -6 on the x-axis:** Starting from the origin (0), move 6 units to the **left** along the x-axis because the x-coordinate is negative.
4. **Plot the y-coordinate (2):**
- **From the x-position (-6), move up:** From the point you reached on the x-axis (-6), move **2 units upward** parallel to the y-axis because the y-coordinate is positive.
5. **Mark the Point:**
- The location where you arrive after moving horizontally to -6 and then vertically to 2 is the exact position of point \( A(-6, 2) \).
- Draw a small dot at this position and label it as \( A(-6, 2) \).
6. **Final Check:**
- Ensure that the point is 6 units to the left of the origin on the x-axis and 2 units above the origin on the y-axis.
**Visual Summary:**
```
y
|
3 |
2 | A(-6,2)
1 |
0 |------------------------- x
-7 -6 -5 -4 -3 -2 -1 0 1 2 3
```
By following these steps, you accurately plot the point \( A(-6, 2) \) on the coordinate plane.
Reviewed and approved by the UpStudy tutoring team
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