Final answer:
The coordinates of the point equidistant from (-1, 5), (8, 2), and (6, -2) are (13/3, 5/3).
Step-by-step explanation:
To find the coordinates for the point equidistant from (-1, 5), (8, 2), and (6, -2), we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) are given by:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
Applying this formula to the given points, we have:
x = (-1 + 8 + 6) / 3 = 13 / 3
y = (5 + 2 - 2) / 3 = 5 / 3
Therefore, the coordinates of the point equidistant from (-1, 5), (8, 2), and (6, -2) are (13/3, 5/3).