Final answer:
Point A. (1,5) is on the graph of the function y = 3x + 2, as substituting x = 1 into the formula yields y = 5, which matches the y-value of the point.
Step-by-step explanation:
To determine which point is on the graph of the function y = 3x + 2, we plug the x-value of each point into the equation and see if the y-value matches. For example, for the point (1,5), we plug in x = 1, yielding y = 3(1) + 2 = 5, which matches the y-value of the point. Following this process for each option:
- A. (1,5) → y = 3(1) + 2 = 5, which matches the point.
- B. (2,3) → y = 3(2) + 2 = 6 + 2 = 8, which does not match the y-value of 3.
- C. (3,2) → y = 3(3) + 2 = 9 + 2 = 11, which does not match the y-value of 2.
- D. (5,1) → y = 3(5) + 2 = 15 + 2 = 17, which does not match the y-value of 1.
So the correct answer is A. (1,5) as it satisfies the equation of the line representing the dependence of y on x.