Final answer:
The coordinate pairs that make the equation x-9y = 12 true are (12, 0), (3, -1), and (0, -4/3).
Step-by-step explanation:
To find which of the given coordinate pairs make the equation x-9y = 12 true, we can substitute the x and y values from each pair into the equation and check if the equation holds true. Let's go through each option:
- A. (12, 0): Substitute x=12 and y=0 into the equation: 12-9(0) = 12. 12 = 12, which is true.
- B. (0, 12): Substitute x=0 and y=12 into the equation: 0-9(12) = 12. -108 = 12, which is not true.
- C. (3, -1): Substitute x=3 and y=-1 into the equation: 3-9(-1) = 12. 12 = 12, which is true.
- D. (0, -4/3): Substitute x=0 and y=-4/3 into the equation: 0-9(-4/3) = 12. 12 = 12, which is true.
Therefore, the coordinate pairs that make the equation true are A. (12, 0), C. (3, -1), and D. (0, -4/3).
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