Question

Graph the equation on the coordinate plane.



y=−2x



tell me where to mark it, tell me in bold words

Answer 1

tell me what to mark

Answer 2

To graph the equation **y = -2x** on the coordinate plane, follow these steps:

1. **Identify key points:**
- Choose different values for **x** and calculate the corresponding **y** values.
- For **x = 0**: **y = -2(0) = 0** → Point (0, 0)
- For **x = 1**: **y = -2(1) = -2** → Point (1, -2)
- For **x = -1**: **y = -2(-1) = 2** → Point (-1, 2)
- For **x = 2**: **y = -2(2) = -4** → Point (2, -4)
- For **x = -2**: **y = -2(-2) = 4** → Point (-2, 4)

2. **Plot these points on the coordinate plane:**
- Mark **(0, 0)** (the origin)
- Mark **(1, -2)**
- Mark **(-1, 2)**
- Mark **(2, -4)**
- Mark **(-2, 4)**

3. **Draw the line:**
- Connect the points with a straight line that extends in both directions. This line represents all solutions to the equation **y = -2x**.

4. **Label the line:**
- You can label the line with the equation **y = -2x** to indicate which equation it represents.

Your graph should now clearly show a straight line with a negative slope, decreasing from left to right.

If you need further assistance with graphing or specific details, feel free to ask!

Answer 3

Here’s what to mark clearly on your graph:

1. **Axes (x-axis and y-axis):**
- Mark the horizontal line as the **x-axis**.
- Mark the vertical line as the **y-axis**.

2. **Key Points** to mark:
- **Mark (0, 0)**: This is the point where the line crosses the origin.
- **Mark (1, -2)**: Plot this point below the x-axis.
- **Mark (-1, 2)**: Plot this point above the x-axis.
- **Mark (2, -4)**: Plot this point below the x-axis, further to the right.
- **Mark (-2, 4)**: Plot this point above the x-axis, further to the left.

3. **Draw the Line:**
- Connect the points **(0, 0)**, **(1, -2)**, **(-1, 2)**, **(2, -4)**, and **(-2, 4)** with a straight line extending in both directions.

4. **Label the Line:**
- Write **"y = -2x"** next to the line to indicate the equation it represents.

Once you’ve marked these components on your graph, it will effectively illustrate the equation **y = -2x**.