Identify the line having slope 2.

The correct answer is: 2y = 4x + 4

Step-by-step solution:-
We will simplify the given equations and compare the same with standard form of a straight line to find the value of m.
a. x = 2y + 2
∴ x - 2 = 2y
∴ (x - 2) / 2 = y
∴ 1/2 x - 2/2 = y
∴ 1/2 x - 1 = y
i.e. y = 1/2 x - 1
Comparing this with y = mx + c, we get m = 1/2 ≠ 2
b. 2y = x + 2
∴ y = (x + 2) / 2 .................................... (Dividing both sides by 2)
∴ y = 1/2 x + 2/2
∴ y = 1/2 x + 1
Comparing this with y = mx + c, we get m = 1/2 ≠ 2
c. 2y = x
∴ y = 1/2 x ............................... (Dividing both sides by 2)
∴ y = 1/2 x + 0
Comparing this with y = mx + c, we get m = 1/2 ≠ 2
d. 2y = 4x + 4
∴ y = 4/2 x + 4/2 …......................... (Dividing both sides by 2)
∴ y = 2x + 2
Comparing this with y = mx + c, we get m = 2
Final Answer:-
∴ Option d i.e. 2y = 4x + 4 is the correct option because its slope = m = 2.