Answer :
Applying the midpoint formula, the coordinates of the other endpoint are: (-9, -13).
How to Apply the Midpoint Formula?
The midpoint formula, which can be used in determining the coordinates of the midpoint between two endpoints is usually expressed as: M[(x1 + x2)/2, (y1 + y2)/2].
Given the following coordinates:
Midpoint of GH --> m(-13/2,-6) = (x, y)
One endpoint ---> G(-4, 1) = (x1, y1)
The other endpoint ---> (x2, y2)
Plug in the values into the formula used in calculating the midpoint:
m(-13/2,-6) = [(-4 + x2)/2, (1 + y2)/2]
Solve for x2
-13/2 = (-4 + x2)/2
-13/2 × 2 = -4 + x2
-13 = -4 + x2
-13 + 4 = x2
-9 = x2
x2 = -9
Solve for y2
-6 = (1 + y2)/2
2(-6) = 1 + y2
-12 = 1 + y2
-12 - 1 = y2
-13 = y2
y2 = -13
Thus, using the midpoint formula, the coordinates of the other endpoint are: (-9, -13).
Learn more about the midpoint formula on:
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