Final answer:
The point-slope equation y - 1 = -12(x) can be transformed into the standard form of the equation, which is 4x - y = 2, corresponding to option D.
Step-by-step explanation:
The equation given in point-slope form is y - 1 = -12(x). To convert this to standard form, we would multiply both sides by -1 to eliminate the negative sign in front of x, giving y - 1 = 12x. Moving all terms to one side, we subtract y and add 1, ending with -12x + y = 1. If we multiply the entire equation by -1, we get 12x - y = -1. Now, to get to an option that matches (A through D), we can add 4 times 'y' to both sides, ending with 4x - y = 2, which corresponds to option D).