Answer:
approximately 8.9
Step-by-step explanation:
Regard (3, -2) and (7, 6) as the two acute angle vertices of a right triangle. The horizontal leg of this triangle has the length (7 - 3) = 4, and the vertical leg 6 - (-2) = 8.
Apply the Pythagorean Theorem to find the length of the diagonal connecting these two points. This length is the distance between the two points:
d = √(4² + 8²) = √(16 + 64) = √80 + √16√5 = 4√5, or approximately 8.9
