Question

ryans friends have organized a treasure hunt. he is using the map shown to find the clues. the position of the last clue, which leads to the treasure, is located at point (-2,4). he figures that the treasure is 3 units either to the east or south of the location of the last clue. which of these could be the location of the treasure? a. point (1,4) or point (-2,7) b. point (1,1) or point (-5,7) c. point (1,4) or point (-2,1)

Explanation:

Step1: Understand east - west and north - south on coordinate plane

Moving east means increasing the x - coordinate and moving south means decreasing the y - coordinate. The last clue is at point (-2,4).

Step2: Calculate position when moving east

If moving 3 units east, we add 3 to the x - coordinate. So, x=-2 + 3=1, and y remains the same (y = 4). The new point is (1,4).

Step3: Calculate position when moving south

If moving 3 units south, we subtract 3 from the y - coordinate. So, x=-2 and y=4 - 3 = 1. The new point is (-2,1).

Answer:

C. point (1,4) or point (-2,1)