Question

On a grid, Joe's house is marked at (-5, -3), and Andy's house is marked at (1, -3). What is the distance, on the grid, between Joe's house and Andy's house?

A) 4 units
B) 6 units
C) 8 units
D) 10 units

Answer 1

The distance between Joe's house and Andy's house on the grid is B) 6 units.

Step-by-step explanation:

The distance between Joe's house at (-5, -3) and Andy's house at (1, -3) can be found using the distance formula.

The distance formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the coordinates, we get:

d = sqrt((1 - (-5))^2 + (-3 - (-3))^2)

Simplifying, we get:

d = sqrt((1 + 5)^2 + (-3 + 3)^2)

d = sqrt(6^2 + 0^2)

d = sqrt(36 + 0)

d = sqrt(36)

d = 6 units

Therefore, the distance between Joe's house and Andy's house is 6 units, so the answer is B) 6 units.