the coordinate plane starts at 0,0 Follow the rule and create x and y coordinates You must have 2 ordered pairs with negative coordinates Onece you have all of the ordered pairs ,plot and label the coordinate and connect the line the rule is y=3x.

To solve this problem, let's break it down step by step:

### Step 1: Understand the rule \( y = 3x \)
This equation tells us that for every value of \( x \), the value of \( y \) will be three times that of \( x \).

### Step 2: Create Ordered Pairs
We need to choose values for \( x \) and then calculate the corresponding \( y \) values using the equation \( y = 3x \). We'll ensure that two of the pairs have negative coordinates.

1. **First Pair (Negative coordinates)**:  
   - \( x = -2 \)  
   - \( y = 3(-2) = -6 \)  
   - Ordered Pair: \( (-2, -6) \)

2. **Second Pair (Negative coordinates)**:  
   - \( x = -1 \)  
   - \( y = 3(-1) = -3 \)  
   - Ordered Pair: \( (-1, -3) \)

3. **Third Pair**:  
   - \( x = 0 \)  
   - \( y = 3(0) = 0 \)  
   - Ordered Pair: \( (0, 0) \)

4. **Fourth Pair**:  
   - \( x = 1 \)  
   - \( y = 3(1) = 3 \)  
   - Ordered Pair: \( (1, 3) \)

5. **Fifth Pair**:  
   - \( x = 2 \)  
   - \( y = 3(2) = 6 \)  
   - Ordered Pair: \( (2, 6) \)

### Step 3: Plot and Label the Coordinates
Next, you would plot these ordered pairs on the coordinate plane and label them. The pairs are:

- \( (-2, -6) \)
- \( (-1, -3) \)
- \( (0, 0) \)
- \( (1, 3) \)
- \( (2, 6) \)

### Step 4: Connect the Line
Once the points are plotted, draw a straight line through all the points. This line represents the equation \( y = 3x \).

### Summary of Ordered Pairs:
- \( (-2, -6) \)
- \( (-1, -3) \)
- \( (0, 0) \)
- \( (1, 3) \)
- \( (2, 6) \)

Would you like a visual representation of this plotted line? If you have any questions or want more details, let me know!

Here are five related questions to expand on this information:

1. What would be the ordered pair if \( x = -3 \)?
2. How would the graph change if the rule was \( y = -3x \)?
3. Can you identify the slope of the line from the equation \( y = 3x \)?
4. How would you find the \( y \)-intercept in a different equation like \( y = 3x + 2 \)?
5. What does it mean when a line passes through the origin on a graph?

**Tip:** When graphing lines, always check multiple points to ensure accuracy and confirm that they lie on the same straight line.

Learn how to plot coordinates and connect a line for the equation y = 3x. Step-by-step guide with examples of ordered pairs, including those with negative coordinates. Suitable for Grades 6-8.

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