Question

How would you set up the midpoint formula if only the midpoint and one coordinate is given? For example, if the midpoint is (2, 5) and the first coordinate is (2, 3)?

Answer 1

$given \\ x = 2 \: \: y = 5 \: \: x_{1} = 2 \: \: \: \: y_{1} = 3 \\ x = \frac{ x_{1} + x_{2} }{2} \\2 = \frac{2 + x_{2} }{2} \\ x_{2} = 2 \\ similarly \: we \: could \: find \: y_{2}$