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

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.