Final answer:
To determine the halfway point between Dana and Sara's houses with coordinates (-9,3) and (5,7), you calculate the midpoint using the midpoint formula, which results in the point (-2,5).
Step-by-step explanation:
To find the halfway point between Dana and Sara's houses with coordinates (-9,3) and (5,7) respectively, you need to calculate the midpoint. The midpoint formula in two dimensions is used to find the point that is exactly in the middle of two points in the Cartesian plane. The formula for the midpoint M with coordinates (x1,y1) and (x2,y2) is given by:
- Mx = (x1 + x2) / 2
- My = (y1 + y2) / 2
Applying this formula to the coordinates given:
- Mx = (-9 + 5) / 2 = -4 / 2 = -2
- My = (3 + 7) / 2 = 10 / 2 = 5
So the halfway point between Dana and Sara's houses is at coordinates (-2,5).