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