Final answer:
The shortest distance from Juan's house to Jose's house is 10 units.
Step-by-step explanation:
The shortest distance from Juan's house to Jose's house can be found using the distance formula, which is based on the Pythagorean theorem. The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a coordinate plane is given by:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Applying this formula to the given coordinates, we have:
Distance = sqrt((7 - (-1))^2 + (0 - 6)^2)
Distance = sqrt(8^2 + (-6)^2)
Distance = sqrt(100)
Distance = 10
Therefore, the shortest distance from Juan's house to Jose's house is 10 units.