Applying the midpoint formula, point A is located at: (8, 2).
The Midpoint Formula
Midpoint formula = M(x, y) = [tex](\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )[/tex]
Given:
Midpoint, M(2, 6) = M(x, y)
B(-4, 10) = (x2, y2)
A(?, ?) = (x1, y1)
Plug in the values into the midpoint formula
M(2, 6) = [tex](\frac{x_1 + (-4)}{2}, \frac{y_1 + 10}{2} )[/tex]
Thus:
2 = (x1 - 4)/2
4 = x1 - 4
4 + 4 = x1
x1 = 8
6 = (y1 + 10)/2
12 = y1 + 10
12 - 10 = y1
y1 = 2
Therefore, applying the midpoint formula, point A is located at: (8, 2).
Learn more about the midpoint formula on:
https://brainly.com/question/13115533
