Question

Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florida, located at (1, 4) on the map’s coordinate grid, makes a stop at the midpoint, Panama, located at (5, 7 ) on the map’s coordinate grid. and then heads to its destination, Ecuador. Find the location of Ecuador on Mary’s map. Group of answer choices (3, 5.5) (8, 9) (0, 0) (9, 10)

Answer 1

Answer:

(9, 10)

Step-by-step explanation:

We are told that the coordinates of Mary's departure location is (1,4)

Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).

Now, we want to find the coordinates of her final destination.

Let the coordinates of her final destination be (x, y)

Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;

(x + 1)/2 = 5

x + 1 = 5 × 2

x + 1 = 10

x = 10 - 1

x = 9

Similarly, to get y;

(y + 4)/2 = 7

y + 4 = 14

y = 14 - 4

y = 10

Thus, the coordinates of her final destination is; (9, 10)