We are given no answer choices here, so we can solve the problem from the start.
First, we must move x to the other side:
6x + 2y = 28 ⇒ 2y = -6x + 28
Finally, we divide everything by the coefficient of y (2):
2y = -6x + 28 ⇒ y = -3x + 14
Therefore, the slope-intercept form of 6x + 2y = 28 is y = -3x + 14.