If point A is (4, -1) and point B is (3, 5), what is the square of the distance AB between them?

The correct answer is 37.

• Step 1: Use the distance formula concept: square of distance equals change in x squared plus change in y squared.


• Step 2: Change in x is 3 minus 4, which equals -1. Its square is 1.


• Step 3: Change in y is 5 minus minus 1, which equals 6. Its square is 36.


• Step 4: Add both results: 1 plus 36 equals 37.


• Final Answer: The square of the distance is 37.