if they receive a coupon for every four movies, and a bag of popcorn for every three movies, you need to find the LCM (lowest common multiple) of the two numbers, which is 12.
A line that is perpendicular has a slope that is the opposite reciprocal of the other line. We also have a point (x, y) that is on the line, so our equation begins as..
1 = -(1/2)(6) + b We must solve for b ( -1/2 is the opposite reciprocal of 2)