Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.

y = -x - 5

(0, ), ( , 0), (2, )

Let's first complete the ordered pairs using the equation \( y = -x - 5 \).

1. **For (0, \_\_):**
   Substitute \( x = 0 \) into the equation to find \( y \):
   \[
   y = -0 - 5 = -5
   \]
   So, the ordered pair is \( (0, -5) \).

2. **For (\_\_, 0):**
   Substitute \( y = 0 \) into the equation to find \( x \):
   \[
   0 = -x - 5 \implies x = -5
   \]
   So, the ordered pair is \( (-5, 0) \).

3. **For (2, \_\_):**
   Substitute \( x = 2 \) into the equation to find \( y \):
   \[
   y = -2 - 5 = -7
   \]
   So, the ordered pair is \( (2, -7) \).

### Final Ordered Pairs:
- \( (0, -5) \)
- \( (-5, 0) \)
- \( (2, -7) \)

### Graphing the Equation:

1. Plot the points \( (0, -5) \), \( (-5, 0) \), and \( (2, -7) \) on a coordinate plane.
2. Draw a straight line through the points to represent the equation \( y = -x - 5 \).

Would you like me to graph the equation for you?

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Here are some follow-up questions based on this problem:

1. What is the slope of the line represented by the equation \( y = -x - 5 \)?
2. How would the graph change if the equation were \( y = -x + 5 \)?
3. What are the intercepts of the line in the original equation?
4. How would you find the ordered pairs for \( x = -3 \) and \( x = 4 \)?
5. How can you verify that a point lies on the line defined by \( y = -x - 5 \)?

**Tip:** The slope of a line is key in understanding its steepness and direction. Here, the slope is \( -1 \), meaning the line falls as you move from left to right.

Learn how to complete ordered pairs and graph the linear equation y = -x - 5. This problem involves algebraic concepts, including graphing and solving for missing coordinates. Suitable for students in Grades 8-10, with a focus on understanding slope and intercepts.

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