To solve this problem, we have to use the concept of slope and find the slope (denoted as m) in this problem through the equation given, i.e. 3y - x = -12.
From this equation, if you try to express y in terms of x, then it would be 3y = x -12, and then y = (1/3)x -12, where m = 1/3 because y = mx + c so comparing these 2 equations give you slope m = 1/3.
Now, we have the point (18,2) where 18 and 2 are x and y coordinates respectively.
Therefore, our equation of the line would be
(y - y1) = m*(x-x1), where x1 = 18 and y1 = 2. Plug-in those values and you will get
y - 2 = 1/3 (x-18) => 3(y-2) = (x-18) => 3y - 6 = x - 18 => 3y = x - 18 +6 = x - 12.
Therefore, 3y = x- 12 is the required equation. This is the answer. Hope this helps.
Please let me know if you have any questions or concerns.