Consider a line with equation y=12x-3. Which of the following lines has the same slope but a different y-intercept? Explain your reasoning.

Choose the correct answer below.

A. y=12x + 3 because the rate of change is different, but the initial value is the same.

B. y=12x + 3 because the rate of change is the same, but the initial value is different.

C. y=-12x -3 because the rate of change is the same, but the initial value is different.

D. y=12/3x -3/3 because both the rate of change and the initial value are the same.

E. y= 12/3x - 3/3because both the rate of change and the initial value are different.

F. y=-12-3 because the rate of change is different, but the initial value is the same