Subjects algebra

Order Graph Pairs Df585B

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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.