Question

Two birds are flying toward a birdhouse that is halfway between them. The birds are at coordinates A (-6, 6) and B (8, -4). What are the coordinates of the birdhouse?

a. (1, 1)
b. (2, 1)
c. (1, 2)
d. (2, 2)

Answer 1

The coordinates of the birdhouse located halfway between the birds are (1, 1), which were calculated using the midpoint formula between points A (-6, 6) and B (8, -4).The correct option is A.

Step-by-step explanation:

The coordinates of the birdhouse, which is halfway between two birds flying towards it, can be found by calculating the midpoint between the two points A (-6, 6) and B (8, -4). The mathematical formula to find the midpoint M(x, y) between two points A(x1, y1) and B(x2, y2) is M((x1+x2)/2, (y1+y2)/2). Here is the step-by-step calculation:

1. Add the x-coordinates of points A and B and then divide by 2: (-6 + 8)/2 = 2/2 = 1.
2. Add the y-coordinates of points A and B and then divide by 2: (6 - 4)/2 = 2/2 = 1.

Thus, the coordinates of the birdhouse are (1, 1).