Question

What coordinates represent the location of Steve's house, which is halfway between Jim's and Bernie's houses?

a) (2.12, 11)
b) (3, 12)
c) (3, 11)
d) (2.5, 6)

Answer 1

The coordinates representing the location of Steve's house, which is halfway between Jim's and Bernie's houses, are approximately (2.5, 11.5).

Step-by-step explanation:

To find the location of Steve's house, which is halfway between Jim's and Bernie's houses, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2)

In this case, the coordinates of Jim's house are (x1, y1) and the coordinates of Bernie's house are (x2, y2). Plugging in the given coordinates, we get:

Midpoint = ((x1 + x2) / 2, (y1 + y2) / 2) = ((2 + 3) / 2, (11 + 12) / 2) = (2.5, 11.5)

Therefore, the location of Steve's house is approximately (2.5, 11.5).