Final answer:
The point that is equidistant from the given points (4,7) and (4,7) is (4,7).
Step-by-step explanation:
To find the point that is equidistant from two given points, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x1, y1) and (x2, y2) is given by:
x = (x1 + x2) / 2
y = (y1 + y2) / 2
In this case, the two given points are (4,7) and (4,7). Using the midpoint formula, we have:
x = (4 + 4) / 2 = 4
y = (7 + 7) / 2 = 7
Therefore, the point that is equidistant from the given points is (4,7).