Question

You start a search for a buried object by marking the center of a field as (0, 0), with coordinates giving distances in yards. Coordinates to the north or east are positive and coordinates to the south or west are negative. You find nothing at (–12, 8), so you try a likely-looking spot 3 yards to the east and 11 yards to the south of the first spot. What are the coordinates of the second spot?
(–15, –3)

(–15, 19)

(–9, –3)

(–9, 19)

Answer 1

The coordinates to the second spot can be represented by the coordinates

(-12 + 3, 8 -11)

Since we are going 3 yards to the east we would be affecting the x-axis and since we are going east we will need to add 3 yards the x axis of the first spot

11 yards south would be affecting the y- axis negatively. We would need to subtract 11 from the y- axis of the first spot.

the coordinates of the second spot would be

-12 +3 = -9

8 -11 = -3

(-9, -3)