Final answer:
The equation of the line in point-slope form is y = m(x - x1) + y1, where m is the slope and (x1, y1) is a point on the line.
Step-by-step explanation:
The equation of the line in point-slope form is y = m(x - x1) + y1, where m is the slope and (x1, y1) is a point on the line.
Given that the slope is -1/6 and the point is (-1, -12), we can substitute these values into the equation.
So, the equation of the line is y = (-1/6)(x + 1) - 12, which is option A.