# Using the midpoint formula, if you're only given ((x_1 + x_2) / 2, (y_1 + y_2) / 2), is it possible to solve for x and y?

Nov 14, 2015

No.

#### Explanation:

$X = \left({x}_{1} , {x}_{2}\right)$

$Y = \left({y}_{1} , {y}_{2}\right)$

$M = \left(\frac{{x}_{1} + {x}_{2}}{2} , \frac{{y}_{1} + {y}_{2}}{2}\right) = \left(a , b\right)$

$f \left({x}_{1} , {x}_{2}\right) = a$

$f \left({y}_{1} , {y}_{2}\right) = b$

4 unknowns and 2 equations