Question

Sydney is playing a game on a map with a marked grid. To start, she places a game piece at (1, 4). She moves 3 units east and 2 units north and places a second game piece at (4, 6). She continues playing game pieces so that each piece is 3 units east and 2 units north in relation to the previous piece. What is the location of the third game piece she places?

Answer 1

Answer:

(7, 8)

Step-by-step explanation:

If Sidney places each piece 3 units east and 2 units north of the last one, we can figure out which coordinate comes first by subtracting the position of the second piece (S) by the position of the first piece (F):

$S - F = (4,6) - (1,4) = (3,2)$

We can conclude that coordinates are in the (East, North) format.

Therefore, the location of the third piece (T) is:

$T = S(E,N) +(3,2)= (4,6)+(3,2)\\T = (7,8)$