Answer: The co-ordinates of the point where the passenger was dropped are (-2, 2).
Step-by-step explanation: Given that a taxicab starts at (1, -2) on the grid. It goes 3 blocks east and 1 block south to pick up a passenger.
After that, it goes 6 blocks west and 5 blocks north and drops off the passenger.
We are to find the coordinates of the point where the passenger was dropped off.
3 blocks East: When the taxicab goes 3 blocks east, then the the co-ordinates of the point becomes
(1, -2) ⇒ (1+3, -2) = (4, -2).
1 block South: When the taxicab goes 1 block South, then the the co-ordinates of the point becomes
(4, -2) ⇒ (4, -2-1) = (4, -3).
6 blocks West: When the taxicab goes 6 blocks West, then the the co-ordinates of the point becomes
(4, -3) ⇒ (4-6, -3) = (-2, -3).
5 blocks North: When the taxicab goes 5 blocks South, then the the co-ordinates of the point becomes
(-2, -3) ⇒ (-2, -3+5) = (-2, 2).
Thus, the co-ordinates of the point where the passenger was dropped are (-2, 2).
