Two lines are parallel if their slopes are equal, so a line parallel to y = 1/2 x - 6 must have a slope of 1/2.
From the options in the picture, there are two options with a slope of 1/2, option one y= 1/2 x -6 and option three y = 1/2x + 5.
But option one is the same line of y = 1/2 - 6, so the option three is the correct answer.