Final answer:
The exact distance from (-1, 4) to (6, -2) is found using the Pythagorean theorem, resulting in the square root of 85 units, which is the hypotenuse of the triangle formed by these points.
Step-by-step explanation:
The exact distance from (-1, 4) to (6, -2) can be found using the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse. To calculate this distance, or the hypotenuse, we use the formula: Distance = √((x2 - x1)² + (y2 - y1)²). For the points (-1, 4) and (6, -2), this becomes: Distance = √((6 - (-1))² + ((-2) - 4)²) = √(7² + (-6)²) = √(49 + 36) = √85. Thus, the exact distance is the square root of 85 units.