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.