Draw a coordinate plane and plot the following points :
`y=-2`

Answer

To solve the problem of plotting the point for the equation \( y = -2 \) on a coordinate plane, follow these steps:

### Step-by-Step Solution:

1. **Draw the Coordinate Plane:**
- Start by drawing two perpendicular lines that intersect at a point. The horizontal line is called the x-axis, and the vertical line is called the y-axis. The point where they intersect is called the origin (0,0).

2. **Label the Axes:**
- Mark equal intervals on both axes. On the x-axis, label the positive side to the right (1, 2, 3, ...) and the negative side to the left (-1, -2, -3, ...). On the y-axis, label the positive side upwards (1, 2, 3, ...) and the negative side downwards (-1, -2, -3, ...).

3. **Identify the Point for \( y = -2 \):**
- Since the equation given is \( y = -2 \), this means that for any value of \( x \), the value of \( y \) will always be -2.

4. **Plot the Point:**
- To plot the point \( (x, -2) \), you can choose any value for \( x \). For example, if you choose \( x = 0 \), the point will be \( (0, -2) \).
- Move down to -2 on the y-axis and mark the point.
- You can also plot other points such as \( (-3, -2) \), \( (-1, -2) \), \( (1, -2) \), \( (2, -2) \), etc. All these points will lie on the same horizontal line at \( y = -2 \).

5. **Draw the Line:**
- Since \( y = -2 \) represents a horizontal line, draw a straight horizontal line through the point \( (0, -2) \) extending in both directions. This line represents all the points where \( y \) is -2 for any value of \( x \).

### Final Result:
You have successfully drawn the coordinate plane, plotted the point \( (0, -2) \), and drawn the line representing \( y = -2 \).

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