Final answer:
When plugging in the x and y values from each point into the equation y = 2x - 5, points A) (1, -3), C) (0, -5), and D) (-2, -9) satisfy the equation, hence they are all solutions. The correct answer is C) (0, -5).
Step-by-step explanation:
The student's question asks which point is a solution to the equation y = 2x - 5. To determine the correct answer, substitute x and y from each option into the equation and see if the equation holds true.
- A) For the point (1, -3), substituting x=1 gives us y = 2(1) - 5 = 2 - 5 = -3, which matches the y value in the point.
- B) For the point (2, 3), substituting x=2 gives us y = 2(2) - 5 = 4 - 5 = -1, which does not match the y value in the point.
- C) For the point (0, -5), substituting x=0 gives us y = 2(0) - 5 = 0 - 5 = -5, which matches the y value in the point.
- D) For the point (-2, -9), substituting x=-2 gives us y = 2(-2) - 5 = -4 - 5 = -9, which matches the y value in the point.
Based on these calculations, points A), C), and D) are solutions to the equation. However, since the student's question only requires one solution, any of these points can be considered as a correct answer.