Applying the midpoint formula, the coordinates of the midpoint of the line segment that has endpoints with coordinates (−8, −11) and (2, 5) is calculated as: M(-3, -3).
The formula that is used to find the coordinates of the midpoint of a line segment that has two endpoints is expressed as: M[(x2 + x1)/2, (y2 + y1)/2].
Given the following coordinates of the endpoints as (−8, −11) and (2, 5), let:
(−8, −11) = (x1, y1)
(2, 5) = (x2, y2)
Plug in the values into the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2]:
M[(2 + (-8))/2, (5 + (-11))/2]
M[(2 - 8))/2, (5 - 11)/2]
M[(-6))/2, (-6)/2]
M(-3, -3)
Thus, by applying the midpoint formula, M[(x2 + x1)/2, (y2 + y1)/2], the coordinates of the midpoint of the line segment that has endpoints with coordinates (−8, −11) and (2, 5) is calculated as: M(-3, -3).
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