Graphing in the Coordinate Plane
18. Describe how to plot point on a coordinate plane.

Question

Graphing in the Coordinate Plane 18. Describe how to plot point $$ A(-6,2) $$ on a coordinate plane.

UpStudy AI · Accepted Answer

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.

![Coordinate Plane Blank](https://i.imgur.com/coordinate_plane_blank.png)

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.
   
   ![Plotting x = -6](https://i.imgur.com/plot_x_negative6.png)

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.

![Plotting y = 2](https://i.imgur.com/plot_y_positive2.png)

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 $$ A(-6, 2) $$.

![Point A Plotted](https://i.imgur.com/point_A_plotted.png)

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.
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 $$ A(-6, 2) $$.

Graphing in the Coordinate Plane
18. Describe how to plot point on a coordinate plane.

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Graphing in the Coordinate Plane 18. Describe how to plot point on a coordinate plane.

Upstudy AI Solution

Answer

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Graphing in the Coordinate Plane
18. Describe how to plot point on a coordinate plane.