Answer:
Distance = 15 units
Explanation:
We can determine the distance between Stephen and Dixie's house using the distance formula, which is given by:
D = √(x2 - x1)^2 + (y2 - y1)^2, where
- D is the distance,
- (x1, y1) is one point,
- and (x2, y2) is another point.
Thus, we can find the distance between their houses by substituting (8, 2) for (x1, y1) and (-4, -7) for (x2, y2) in the distance formula:
D = √(-4 - 8)^2 + (-7 - 2)^2
D = √(-12)^2 + (-9)^2
D = √144 + 81
D = √225
D = 15
Thus, Stephen and Dixie's houses are 15 units apart.