A taxicab starts at (1, -2) on the grid. It goes 4 blocks south and 3 blocks east to pick up a passenger. Then it goes 6 blocks
west and 5 blocks north and drops off the passenger. How many blocks is the taxicab from its starting position
2 answers:
Answer:
The cab is -1/3 west of north.
( from the starting point it goes 1 block to the north and 3 blocks to the west . Cab is at (-2,-1))
Step-by-step explanation:
It is given that:
A taxicab starts at (1, -2) on the grid.
- It goes 4 blocks south and 3 blocks east to pick up a passenger.
This implies that the cab will reach at a point (4,-6)
( Since going south means it will go some units down and similarly going east means it will go some units to the right.
Hence, here going 4 blocks south and 3 blocks east means it will go to:
(1,-2) → (1+3,-2-4)=(4,-6) )
- Then it goes 6 blocks west and 5 blocks north and drops off the passenger.
This means that the cab will drop the passenger at (-2,-1)
Since going north means it will go some units up and similarly going west means it will go some units to the left.
Hence, here going 6 blocks west and 5 blocks north means it will go to:
(4,-6) → (4-6,-6+5)=(-2,-1) )
Hence, the end point is (-2,-1)
Now the slope of the line joining the starting and the end point is:
i.e. line joining (1,-2) and (-2,-1) is:
Hence, the taxicab is -1/3 block west of north.
i.e. from the starting point it goes 1 block to the north and 3 blocks to the west.
i.e. the cab is in west-north direction from the starting point.
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