Question

The town of Springville is mapped on a coordinate grid with
the origin being at City Hall. John's house is located at the
point (-5, 7) and Bill's house is located at (-2,3). How far is it
from John's house to Billy's house?

Answer 1

Answer:

The distance from John's house to Bill's house is 5 units

Step-by-step explanation:

John's house is located at the point (-5,7) and Bill's house is located at (-2,3) in a map of the town of Springville.

We need to find the distance from John's house to Bill's house. We use the formula of the distance between two points:

Given two points A(x,y) and B(w,z), the distance between them is:

$d=\sqrt{(w-x)^2+(z-y)^2}$

Applying the formula:

$d=\sqrt{(-2+5)^2+(3-7)^2}$

$d=\sqrt{3^2+4^2}$

$d=\sqrt{9+16}=\sqrt{25}$

d=5

The distance from John's house to Bill's house is 5 units