Question

1. a taxicab starts at (1, - 2) on the grid. it goes 3 blocks east and 1 block south to pick up a passenger. then it goes 6 blocks west and 5 blocks north and drops off the passenger. what is the point where the passenger was dropped off? (-2,8)

Explanation:

Step1: Determine x - coordinate change

Starting x - coordinate is 1. Moving 3 blocks east (increase in x) and 6 blocks west (decrease in x). So, $x=1 + 3-6=-2$.

Step2: Determine y - coordinate change

Starting y - coordinate is - 2. Moving 1 block south (decrease in y) and 5 blocks north (increase in y). So, $y=-2-1 + 5=2$.

Answer:

$(-2,2)$