Final answer:
The correct ordered pair that is a solution to the equation y=2x+6 is Option A. (0,6), as it satisfies the equation when the values are substituted. Options B and C do not satisfy the equation. The correct answer is option a.
Step-by-step explanation:
The student is asking which ordered pair is a solution to the equation y=2x+6. To determine which ordered pair(s) is a solution, we substitute the x and y values from each pair into the equation and check if the equation holds true.
- For Option A (0,6), substituting x = 0 gives us y = 2(0) + 6, which simplifies to y = 6. Since this matches the y-value in the pair, (0,6) is a solution.
- For Option B (1,4), substituting x = 1 gives us y = 2(1) + 6, which simplifies to y = 8. Since 8 does not match the y-value (4), (1,4) is not a solution.
- For Option C (2,2), substituting x = 2 gives us y = 2(2) + 6, which simplifies to y = 10. Since 10 does not match the y-value (2), (2,2) is not a solution.
The correct option is A. (0,6), as it is the only ordered pair that satisfies the equation y=2x+6.