Question

Find the difference between (2,3) and (4,1)

Answer 1

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.