Answer:
d = 9.9 units
Step-by-step explanation:
Picture a right triangle with one acute vertex at (1, -5) and the other at (-6, 2). Going from one to the other, we see a change in x (run) of 7 and a change in y of 7. Applying the Pythagorean Theorem, we find the distance between the two points as follows:
d = √(7² + 7²) = 7√2, or approximately 9.9 units.