To determine which of the given ordered pairs is a part of the solution set for the equation \( y = 2x + 5 \), we need to substitute the \( x \) values from the pairs into the equation and see if the resulting \( y \) value matches the \( y \) value in the ordered pair.
Let's evaluate each option:
A. For \( (3, -1) \): \[ y = 2(3) + 5 = 6 + 5 = 11 \quad (\text{not } -1) \]
B. For \( (1, 2) \): \[ y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{not } 2) \]
C. For \( (7, 1) \): \[ y = 2(7) + 5 = 14 + 5 = 19 \quad (\text{not } 1) \]
D. For \( (1, 7) \): \[ y = 2(1) + 5 = 2 + 5 = 7 \quad (\text{is } 7) \]
The only ordered pair that satisfies the equation \( y = 2x + 5 \) is option D: \( (1, 7) \).
Therefore, the correct answer is D. (1, 7).