Using the formula for calculating the midpoint of a line segment, the coordinates of D are [tex](8, -11)[/tex].
How to calculate midpoint of a line segment?
If we have coordinates (x₁, y₁) and (x₂, y₂) of a line segment, then the midpoint of the line segment is determined by (p, q) = [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex].
(p, q) = (5, -7)
(x₁, y₁) = (2, -3)
(x₂, y₂) = ?
(p, q) = [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex] = (5, -7)
[tex](\frac{(2+x}{2}, \frac{-3 + y}{2} ) = (5,-7)\\\\\frac{2+x}{2} = 5\\\\2 + x = 10\\\\x = 8\\\\\frac{-3 + y}{2} = -7\\\\-3 + y= -14\\\\y = -11[/tex]
Coordinates of D = (8, -11)
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