Ataxicab 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

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.

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) )

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.

ranks (& how to earn them):

-beginner (needs at least 0 points & 0 brainliest answers)

- hand (needs at least 100 points & 0 brainliest answers)

-ambitious   (needs at least 250 points & 0 brainliest answers)

-virtuoso (needs at least 500 points & 5 brainliest answers)

-expert   (needs at least 1,000 points & 10 brainliest answers)

-ace (needs at least 3,000 points & 15 brainliest answers)

-genius   (needs at least 15,000 points & 50 brainliest answers)

how to award brainliest:

you must wait until 2 people answer to award brainliest. i'm pretty sure that it should be next to the "" and "comments" buttons.