Answer:
The distance in question is √8, or 2√2.
Step-by-step explanation:
Distance, not difference.
As we move from (2, 3) to (4, 1), x (the horizontal distance between the two points), increases by 2 and y (the vertical distance) decreases by 2.
Hence we have a triangle with horizontal leg length 2 and vertical leg length 2. According to the Pythagorean Theorem,
(distance)^2 = 2^2 + 2^2, or (distance)^2 = 4 + 4 = 8.
The distance in question is √8, or 2√2.
