Using the midpoint formula, the coordinates of the endpoint X, are calculated as: X(6, -12).
<h3>How to Apply the Midpoint Formula?</h3>
The midpoint formula is expressed as: M(x, y) = [(x_1 + x_2)/2, (y_1 + y_2)/2].
We are given the following:
Line XY has a midpoint with the coordinates: (3, -5)
It has one endpoint: Y(0, 2)
To find the coordinates of the other endpoint, X, let:
X(?, ?) = (x_1, y_1)
Y(0, 2) = (x_2, y_2)
M (x, y) = (3, -5)
Plug in the values into the midpoint formula
M(3, -5) = [(x_1 + 0)/2, (y_1 + 2)/2]
Isolate and solve each variable
3 = (x_1 + 0)/2
6 = x_1
x_1 = 6
-5 = (y_1 + 2)/2
-10 = y_1 + 2
-10 - 2 = y_1
y_1 = -12
Therefore, the coordinates of the endpoint X, are: X(6, -12).
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