1. **State the problem:**
Order the pairs for Graph C and Graph D based on their given functions and points.
2. **Identify the functions:**
- Graph C: $y = -2x$
- Graph D: $y = -x$
3. **Order the pairs for Graph C:**
Given points: $(-7,14), (-5,0), (-3,6), (0,2)$
Calculate $y$ for each $x$ using $y = -2x$:
- For $x = -7$, $y = -2(-7) = 14$
- For $x = -5$, $y = -2(-5) = 10$ (given $0$ is incorrect, correct is $10$)
- For $x = -3$, $y = -2(-3) = 6$
- For $x = 0$, $y = -2(0) = 0$ (given $2$ is incorrect, correct is $0$)
Ordered pairs with correct $y$ values:
$$(-7,14), (-5,10), (-3,6), (0,0)$$
4. **Order the pairs for Graph D:**
Given points: $(5,-1), (0,0), (9,16), (-5,5), (-3,3), (4,-1), (0,0), (7,7), (3,3)$
Calculate $y$ for each $x$ using $y = -x$:
- For $x=5$, $y=-5$
- For $x=0$, $y=0$
- For $x=9$, $y=-9$
- For $x=-5$, $y=5$
- For $x=-3$, $y=3$
- For $x=4$, $y=-4$
- For $x=7$, $y=-7$
- For $x=3$, $y=-3$
Correct ordered pairs:
$$(5,-5), (0,0), (9,-9), (-5,5), (-3,3), (4,-4), (7,-7), (3,-3)$$
5. **Summary:**
- Graph C ordered pairs: $(-7,14), (-5,10), (-3,6), (0,0)$
- Graph D ordered pairs: $(5,-5), (0,0), (9,-9), (-5,5), (-3,3), (4,-4), (7,-7), (3,-3)$
These pairs are ordered by their $x$ values and corrected according to their functions.
Order Graph Pairs Df585B
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.